Bromsgrove School
Q1.The diagram below shows two different rifles being fired horizontally from a height of 1.5 m
above ground level.
Assume the air resistance experienced by the bullets is negligible.
(a) When rifle A is fired, the bullet has a horizontal velocity of 430 m s−1 as it leaves the
rifle. Assume the ground is level.
(i) Calculate the time that the bullet is in the air before it hits the ground.
time ............................................ s
(2)
(ii) Calculate the horizontal distance travelled by the bullet before it hits the
ground.
horizontal distance .......................................... m
(1)
(b) Rifle B is fired and the bullet emerges with a smaller horizontal velocity than the
bullet from rifle A.
Explain why the horizontal distance travelled by bullet B will be less than bullet A.
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Bromsgrove School
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(3)
(Total 6 marks)
Q3. The diagram below shows the path of a ball thrown horizontally from the top of a
tower of height 24 m which is surrounded by level ground.
(a) Using two labelled arrows, show on the diagram above the direction of the velocity,
v, and the acceleration, a, of the ball when it is at point P.
(2)
(b) (i) Calculate the time taken from when the ball is thrown to when it first hits the
ground. Assume air resistance is negligible.
Answer ................................ s
(2)
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Bromsgrove School
(ii) The ball hits the ground 27 m from the base of the tower. Calculate the speed
at which the ball is thrown.
Answer ......................... m s–1
(2)
(Total 6 marks)
Q4. In a castle, overlooking a river, a cannon was once employed to fire at enemy ships.
One ship was hit by a cannonball at a horizontal distance of 150 m from the cannon as
shown in the figure below. The height of the cannon above the river was 67 m and the
cannonball was fired horizontally.
(a) (i) Show that the time taken for the cannonball to reach the water surface after
being fired from the cannon was 3.7 s. Assume the air resistance was
negligible.
(2)
(ii) Calculate the velocity at which the cannonball was fired. Give your answer to
an appropriate number of significant figures.
answer = ............................ m s–1
(2)
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Bromsgrove School
(iii) Calculate the vertical component of velocity just before the cannonball hit the
ship.
answer = ............................ m s–1
(2)
(iv) By calculation or scale drawing, find the magnitude and direction of the
velocity of the cannonball just before it hit the ship.
velocity = ............................. m s–1
direction = ......................................
(4)
(b) (i) Calculate the loss in gravitational potential energy of the cannonball.
mass of the cannonball = 22 kg
answer = ................................... J
(1)
(ii) Describe the energy changes that take place from the moment the cannonball
leaves the cannon until just before it hits the water. Include the effects of air
resistance.
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(2)
(Total 13 marks)
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