YEAR 12 PHYSICS
PROJECTILE MOTION TEST
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1.
A projectile is launched horizontally at 30 ms-1 from a height of 3 m. Ignoring
air resistance, calculate:
(a)
the time of flight.
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(3 marks)
(b)
the horizontal range.
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(1 mark)
(c)
the velocity just before impact.
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(4 marks)
1
2.
The diagram below represents a multi-image photograph of the path of a
projectile launched from ground level.
The time between each image is 0.15 seconds. The range of the projectile is
2.10 m.
(a)
Draw an arrow labelled G, which shows the direction of the force on
the projectile at position B.
(1 mark)
(b)
Explain why the horizontal distance between A and B is the same as
the horizontal distance between the points D and E.
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(2 marks)
(c)
Use the range of the projectile and the information given above to
calculate the horizontal velocity of the projectile during its motion.
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(2 marks)
2
(d)
The projectile was launched at an angle of 700 to the horizontal.
Determine the speed at which the projectile was launched.
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(2 marks
3.
A ball is kicked from ground level with an initial velocity of 20.94 ms-1 at an
angle of 17.20 above the horizontal on a level soccer pitch.
Assume that air resistance and the effect of the spin on the ball is negligible
and that the acceleration due to gravity g = 9.8 ms-2.
(a) (i) Calculate the magnitude of the horizontal and vertical components of
the initial velocity.
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(2 marks)
(ii)
Show that the time of flight of the ball is 1.3 s.
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(3 marks)
3
(iii)
Calculate the maximum height attained by the ball.
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(3 marks)
(b)
A graph showing the ball’s actual path is shown below. The time
between data points is 0.10 s.
The ball has a mass of 156 grams.
(i)
State two pieces of evidence from the graph indicating that air
resistance was significant in the path of the ball.
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(2 marks)
4
(ii)
Calculate the ratio
range travelled in the absence of air resis tan ce
actual range travelled by the ball
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(2 marks)
(iii)
A second ball of mass 315 grams, but identical in every other way, was
kicked with the same initial velocity.
Estimate the range of this 315 gram ball. Explain your answer.
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(3 marks)
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