A jogger runs halfway around a circular path with a radius of 17 m. What is the magnitude of the displacement?

34

A jogger runs halfway around a circular path with a radius of 12 m.
What is the magnitude of the displacement?
Answer: 24 m

• A jogger runs halfway around a circular path with a radius of 9 m. What is the magnitude of the displacement? Answer: 18 m

A jogger runs halfway around a circular path with a radius of 20 m.
What is the magnitude of the displacement?
Answer: 40 m

A jogger runs halfway around a circular path with a radius of 6 m.
What is the magnitude of the displacement?
Answer: 12 m

A ball is rolled horizontally off a table with an initial speed of 0.6 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.35 s. What is the height of the table? (g = 9.8 m/s² and air resistance is negligible)

0.6

A ball is rolled horizontally off a table with an initial speed of 0.8 m/s.
A stopwatch measures the ball's trajectory time from table to the floor to be 0.40 s.
What is the height of the table?
(g = 9.8 m/s² and air resistance is negligible)
Answer: 0.78 m

A ball is rolled horizontally off a table with an initial speed of 0.5 m/s.
A stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s.
What is the height of the table?
(g = 9.8 m/s² and air resistance is negligible)
Answer: 0.44 m

A ball is rolled horizontally off a table with an initial speed of 1.2 m/s.
A stopwatch measures the ball's trajectory time from table to the floor to be 0.50 s.
What is the height of the table?
(g = 9.8 m/s² and air resistance is negligible)
Answer: 1.23 m

1. A ball is rolled horizontally off a table with an initial speed of 0.7 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.25 s. What is the height of the table? (g = 9.8 m/s² and air resistance is negligible) Answer: 0.31 m

A baseball thrown from the outfield is released from shoulder height (take as 1.50 m) at an initial velocity of 26 m/s at an initial angle of 30.0° with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

10.12

In the figure, if Vo = 6 m/s, and H = 29, after how much time (in seconds) will the ball hit the ground?

2.76

In the figure, if Vo = 9 m/s, and H = 29, how far out (i.e. X in the figure) will the ball hit the ground?

22.8

In the figure, if Vo = 7 m/s, and H = 30, what is the maximum height above the ground that the ball will rise to (in meters)?

30.6

A baseball leaves the bat with a speed of 49 m/s and an angle of 30.0° above the horizontal. A 4-m-high fence is located at a horizontal distance of 130 m from the point where the ball is struck. Assuming the ball leaves the bat 1.0 m above ground level, by how much does the ball clear the fence? Write your answer in meters to 2 decimal places.

26.1

A boat moves at 10 m/s relative to the water. If the boat is in a river where the current is 4 m/s, how long does it take the boat to go downstream a distance of 1940 meters? Write your answer in terms of seconds.

139

A boat moves at 8 m/s relative to the water.
If the boat is in a river where the current is 3 m/s, how long does it take the boat to go downstream a distance of 1100 meters?
Write your answer in terms of seconds.
Answer: 100 s

A boat moves at 12 m/s relative to the water.
If the boat is in a river where the current is 5 m/s, how long does it take the boat to go downstream a distance of 1700 meters?
Write your answer in terms of seconds.
Answer: 100 s

A boat moves at 9 m/s relative to the water.
If the boat is in a river where the current is 2 m/s, how long does it take the boat to go downstream a distance of 990 meters?
Write your answer in terms of seconds.

Answer: 90 s

A boat moves at 7 m/s relative to the water.
If the boat is in a river where the current is 3 m/s, how long does it take the boat to go downstream a distance of 1500 meters?
Write your answer in terms of seconds.
Answer: 150 s

A boat moves at 9 m/s relative to the water.
If the boat is in a river where the current is 3 m/s, how long does it take the boat to go upstream a distance of 1200 meters?
Write your answer in terms of seconds.
Answer: 200 s

A boat moves at 10 m/s relative to the water.
If the boat is in a river where the current is 2 m/s, how long does it take the boat to go upstream a distance of 1600 meters?
Write your answer in terms of seconds.
Answer: 200 s

A boat moves at 7 m/s relative to the water.
If the boat is in a river where the current is 2 m/s, how long does it take the boat to go upstream a distance of 750 meters?
Write your answer in terms of seconds.
Answer: 150 s

A boat moves at 12 m/s relative to the water.
If the boat is in a river where the current is 5 m/s, how long does it take the boat to go upstream a distance of 1400 meters?
Write your answer in terms of seconds.
Answer: 200 s

A boat moves at 8 m/s relative to the water. If the boat is in a river where the current is 4 m/s, how long does it take the boat to go upstream a distance of 1340 meters? Write your answer in terms of seconds.

335

A boat moves at 7 m/s relative to the water. If the boat is in a river where the current is 4 m/s, how long does it take the boat to make a complete round trip to a place that is of 1950 m upstream (i.e. it goes upstream, and then downstream the same distance)? Write answer in seconds.

827

A boat moves at 9 m/s relative to the water.
If the boat is in a river where the current is 3 m/s, how long does it take the boat to make a complete round trip to a place that is 1800 m upstream (i.e. it goes upstream, and then downstream the same distance)?
Write answer in seconds.
Answer: 600 s

A boat moves at 10 m/s relative to the water.
If the boat is in a river where the current is 4 m/s, how long does it take the boat to make a complete round trip to a place that is 1200 m upstream (i.e. it goes upstream, and then downstream the same distance)?
Write answer in seconds.
Answer: 400 s

A boat moves at 8 m/s relative to the water.
If the boat is in a river where the current is 2 m/s, how long does it take the boat to make a complete round trip to a place that is 1500 m upstream (i.e. it goes upstream, and then downstream the same distance)?
Write answer in seconds.
Answer: 375 s

A river flows due east at 3 m/s. A boat crosses the 480-m-wide river by maintaining a constant velocity of 6 m/s due north relative to the water. If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?

240

A river flows due east at 2 m/s.
A boat crosses the 300-m-wide river by maintaining a constant velocity of 5 m/s due north relative to the water.
If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?
Answer: 120 m

A river flows due east at 4 m/s.
A boat crosses the 600-m-wide river by maintaining a constant velocity of 8 m/s due north relative to the water.
If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?
Answer: 300 m

A river flows due east at 1.5 m/s.
A boat crosses the 200-m-wide river by maintaining a constant velocity of 4 m/s due north relative to the water.
If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?
Answer: 75 m

a river flows due east at 3.5 m/s.
A boat crosses the 420-m-wide river by maintaining a constant velocity of 7 m/s due north relative to the water.
If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?
Answer: 210 m

A ball is thrown in the horizontal direction from the top of a building that is 30.0 m high, with a velocity = 6.00 m/s at 0°. How far from the base of the building will the ball hit the ground?

14.8m

A ball is thrown in the horizontal direction from the top of a building that is 20.0 m high, with a velocity = 5.00 m/s at 0°.
How far from the base of the building will the ball hit the ground?
Answer: 10.1 m

A ball is thrown in the horizontal direction from the top of a building that is 45.0 m high, with a velocity = 8.00 m/s at 0°.
How far from the base of the building will the ball hit the ground?
Answer: 24.3 m

A ball is thrown in the horizontal direction from the top of a building that is 25.0 m high, with a velocity = 7.00 m/s at 0°.
How far from the base of the building will the ball hit the ground?
Answer: 15.8 m

A ball is thrown in the horizontal direction from the top of a building that is 60.0 m high, with a velocity = 10.0 m/s at 0°.
How far from the base of the building will the ball hit the ground?
Answer: 35.0 m

1. If your cell phone slips off the table and falls to the ground, how much time would it take to hit the ground? The table is 80.0 cm high. (Ignore air resistance.) Answer: 0.40 s

1. If your cell phone slips off the table and falls to the ground, how much time would it take to hit the ground? The table is 200.0 cm high. (Ignore air resistance.) Answer: 0.64 s

1. If your cell phone slips off the table and falls to the ground, how much time would it take to hit the ground? The table is 150.0 cm high. (Ignore air resistance.) Answer: 0.55 s

1. If your cell phone slips off the table and falls to the ground, how much time would it take to hit the ground?
   The table is 95.0 cm high.
   (Ignore air resistance.)
   Answer: 0.44 s

If your cell phone slips off the table and falls to the ground, how much time would it take to hit the ground? The table is 120.0 cm high. (Ignore air resistance.)

t= 0.495s

An airplane has to take off from a runway that has a total length of 2.00 km. The plane starts from one end of the runway from a state of rest, and it must attain a speed of 200 km/hour to take off. What must be the acceleration of the plane, and how much time does it take to traverse the runway? Give your answers in SI units, i.e., m/s² and seconds.

a= 0.772m/s²

t= 72.0s

An airplane has to take off from a runway that has a total length of 1.50 km.
The plane starts from one end of the runway from a state of rest, and it must attain a speed of 180 km/hour to take off.
What must be the acceleration of the plane, and how much time does it take to traverse the runway?
Give your answers in SI units, i.e., m/s² and seconds.

Acceleration = 0.83 m/s²
Time = 60 s

1. An airplane has to take off from a runway that has a total length of 2.50 km. The plane starts from one end of the runway from a state of rest, and it must attain a speed of 220 km/hour to take off. What must be the acceleration of the plane, and how much time does it take to traverse the runway? Give your answers in SI units, i.e., m/s² and seconds.

1. Answer: Acceleration = 0.75 m/s² Time = 81 s

1. An airplane has to take off from a runway that has a total length of 1.20 km. The plane starts from one end of the runway from a state of rest, and it must attain a speed of 150 km/hour to take off. What must be the acceleration of the plane, and how much time does it take to traverse the runway? Give your answers in SI units, i.e., m/s² and seconds.

1. Answer: Acceleration = 0.72 m/s² Time = 58 s

1. An airplane has to take off from a runway that has a total length of 3.00 km.
   The plane starts from one end of the runway from a state of rest, and it must attain a speed of 250 km/hour to take off.
   What must be the acceleration of the plane, and how much time does it take to traverse the runway?
   Give your answers in SI units, i.e., m/s² and seconds.

1. Answer:
   Acceleration = 0.80 m/s²
   Time = 87 s

Q]) A spring gun is placed horizontally on top of a table. It shoots a ball at a velocity of 4.00 m/s in the horizontal direction. The height of the gun above the floor is 1.50 m. Find the time that is takes to hit the ground, and the distance from the table where it hit the ground?

Time: 0.553
Distance: 2.21m

1. A spring gun is placed horizontally on top of a table. It shoots a ball at a velocity of 3.00 m/s in the horizontal direction. The height of the gun above the floor is 1.20 m. Find the time that it takes to hit the ground, and the distance from the table where it hit the ground. Time: 0.49 s Distance: 1.47 m

A spring gun is placed horizontally on top of a table.
It shoots a ball at a velocity of 5.00 m/s in the horizontal direction.
The height of the gun above the floor is 2.00 m.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.64 s
Distance: 3.20 m

A spring gun is placed horizontally on top of a table.
It shoots a ball at a velocity of 2.50 m/s in the horizontal direction.
The height of the gun above the floor is 0.80 m.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.40 s
Distance: 1.00 m

A spring gun is placed horizontally on top of a table.
It shoots a ball at a velocity of 6.00 m/s in the horizontal direction.
The height of the gun above the floor is 1.80 m.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.61 s
Distance: 3.66 m

Q2) The same spring gun is now set up so that it shoots the ball at an angle of 30° above the horizontal. The gun is still 1.50 m above the ground. Find the time that is takes to hit the ground, and the distance from the table where it hit the ground?
(2+2)

Time: 0.794s
Distance: 2.75m

The same spring gun is now set up so that it shoots the ball at an angle of 25° above the horizontal.
The gun is still 1.20 m above the ground.
The ball is fired with a speed of 4.50 m/s.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.71 s
Distance: 2.89 m

The same spring gun is now set up so that it shoots the ball at an angle of 40° above the horizontal.
The gun is still 1.50 m above the ground.
The ball is fired with a speed of 5.00 m/s.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.93 s
Distance: 3.56 m

The same spring gun is now set up so that it shoots the ball at an angle of 35° above the horizontal.
The gun is still 1.00 m above the ground.
The ball is fired with a speed of 4.00 m/s.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.69 s
Distance: 2.26 m

The same spring gun is now set up so that it shoots the ball at an angle of 20° above the horizontal.
The gun is still 1.80 m above the ground.
The ball is fired with a speed of 6.00 m/s.
Find the time that it takes to hit the ground, and the distance from the table where it hit the ground.

Time: 0.78 s
Distance: 4.40 m

A bullet is fired at an angle of 60° with a speed of 100 m/s. Calculate:

After how much time will it be at a height of 30.0 m, going up?
After how much time will it be at a height of 30.0 m, going down?
What is its horizontal component of velocity when it is at 30.0 m, going up?
What is its vertical component of velocity when it is at 30.0 m, going down?

a) 0.353 s
b) 17.325 s
c) 50 m/s
d) −83.1 m/s

A bullet is fired at an angle of 55° with a speed of 80 m/s. Calculate:
a) After how much time will it be at a height of 25.0 m, going up?
b) After how much time will it be at a height of 25.0 m, going down?
c) What is its horizontal component of velocity when it is at 25.0 m, going up?
d) What is its vertical component of velocity when it is at 25.0 m, going down?

Answers:
a) 0.393 s
b) 12.981 s
c) 45.9 m/s
d) −61.7 m/s

A bullet is fired at an angle of 45° with a speed of 120 m/s. Calculate:
a) After how much time will it be at a height of 40.0 m, going up?
b) After how much time will it be at a height of 40.0 m, going down?
c) What is its horizontal component of velocity when it is at 40.0 m, going up?
d) What is its vertical component of velocity when it is at 40.0 m, going down?

Answers:
a) 0.485 s
b) 16.832 s
c) 84.9 m/s
d) −80.1 m/s

A bullet is fired at an angle of 70° with a speed of 90 m/s. Calculate:
a) After how much time will it be at a height of 20.0 m, going up?
b) After how much time will it be at a height of 20.0 m, going down?
c) What is its horizontal component of velocity when it is at 20.0 m, going up?
d) What is its vertical component of velocity when it is at 20.0 m, going down?

Answers:
a) 0.240 s
b) 17.020 s
c) 30.8 m/s
d) −82.2 m/s

A bullet is fired at an angle of 35° with a speed of 110 m/s. Calculate:
a) After how much time will it be at a height of 30.0 m, going up?
b) After how much time will it be at a height of 30.0 m, going down?
c) What is its horizontal component of velocity when it is at 30.0 m, going up?
d) What is its vertical component of velocity when it is at 30.0 m, going down?

Answers:
a) 0.494 s
b) 12.382 s
c) 90.1 m/s
d) −58.2 m/s

Q4) A boat moves at 6.00 m/s in still water. It is used in a river that is flowing at 3.00 m/s. How long will it
take the boat to cover a distance of 2.00 km along the river:
(2+2)

a) When the boat is going downstream?
Answer: 222s
b) When the boat is going upstream?
Answer:667s

1

A boat moves at 8.00 m/s in still water.
It is used in a river that is flowing at 2.00 m/s.
How long will it take the boat to cover a distance of 1.80 km along the river:

a) When the boat is going downstream?
Answer: 180 s

b) When the boat is going upstream?
Answer: 300 s

2

A boat moves at 10.00 m/s in still water.
It is used in a river that is flowing at 4.00 m/s.
How long will it take the boat to cover a distance of 2.40 km along the river:

a) When the boat is going downstream?
Answer: 171 s

b) When the boat is going upstream?
Answer: 400 s

A boat moves at 7.00 m/s in still water.
It is used in a river that is flowing at 3.00 m/s.
How long will it take the boat to cover a distance of 1.50 km along the river:

a) When the boat is going downstream?
Answer: 150 s

b) When the boat is going upstream?
Answer: 375 s

A boat moves at 9.00 m/s in still water.
It is used in a river that is flowing at 2.00 m/s.
How long will it take the boat to cover a distance of 2.10 km along the river:

a) When the boat is going downstream?
Answer: 191 s

b) When the boat is going upstream?
Answer: 300 s