A rock is thrown off a cliff at an angle of 53 ° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s , and t = 6.0 s ?
A rock is thrown off a cliff at an angle of 53 ° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s , and t = 6.0 s ?
A rock is thrown off a cliff at an angle of
53
°
with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at
t
=
2.0
s,
t
=
4.0
s
, and
t
=
6.0
s
?
A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?
Two friends are playing catch. They both are about the same height so the release height of the ball when thrown and the height of the catch are both 1.75 meters above the ground. The friend on the right throws the ball at a speed of 15 m/s at an angle of 33° above the horizontal. Assume you can ignore air resistance for this problem.
(1) What are the horizontal and vertical components of the initial velocity of the ball?
(2) How far away should the second friend stand to catch the ball (at a height of 1.75 m above the ground)? 1: You'll first need to solve for the time the ball is in the air. 2: If you don't know how to solve for time, then pick a value for the time the ball is in the air and perform your remaining calculations using that value for time
A ski jumper starts from rest 55.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of
15.5 m above the ground. Neglect air resistance.
(a) What is her speed when she leaves the track?
m/s
(b) What is the maximum altitude she attains after leaving the track?
m
(c) Where does she land relative to the end of the track?
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