In solving this problem, you are advised to take the acceleration due to gravity to be 9.8 m s-2, acting vertically downwards. You should assume that air resistance is negligible and define your coordinate system (x- and y-axes) carefully before tackling the rest of the question. (i) At what angle does the stone need to be launched in order to just clear the barrier? (ii) Show that between its launch and landing, the stone is in the air for 1.4 s. (iii) Use the time that the stone is in the air to calculate the horizontal distance at which the catapult should be positioned from the middle of the pond. (iv) What variables could you alter in order to increase the range of the catapult? No calculation is required for this part of the question.
In solving this problem, you are advised to take the acceleration due to gravity to be 9.8 m s-2, acting vertically downwards. You should assume that air resistance is negligible and define your coordinate system (x- and y-axes) carefully before tackling the rest of the question. (i) At what angle does the stone need to be launched in order to just clear the barrier? (ii) Show that between its launch and landing, the stone is in the air for 1.4 s. (iii) Use the time that the stone is in the air to calculate the horizontal distance at which the catapult should be positioned from the middle of the pond. (iv) What variables could you alter in order to increase the range of the catapult? No calculation is required for this part of the question.
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Do last three parts
Transcribed Image Text:A catapult fires a stone with a speed of u = 7.0 m s¹ from a
vertical height of 1.0 m above level ground, as shown in Figure 2.
A student tests the device by aiming the stone so that, at its
highest point, it just clears a barrier with a height of 3.0 m. The
stone then lands in the middle of a frozen pond, whose surface can
be assumed to be at the same level as the ground.
个
1.0m
3.0m
Movable
barrier
←Pond->
Transcribed Image Text:In solving this problem, you are advised to take the acceleration
due to gravity to be 9.8 m s-2, acting vertically downwards. You
should assume that air resistance is negligible and define your
coordinate system (x- and y-axes) carefully before tackling the
rest of the question.
(i) At what angle does the stone need to be launched in order to
just clear the barrier?
(ii)
Show that between its launch and landing, the stone is in the
air for 1.4 s.
(iii) Use the time that the stone is in the air to calculate the
horizontal distance at which the catapult should be
positioned from the middle of the pond.
(iv) What variables could you alter in order to increase the range
of the catapult? No calculation is required for this part of the
question.
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