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
An object is thrown off the top of a 42 m tall building with a velocity of 475 m/s at an angle of 10.4° with respect to the horizontal.
(a) How long is the object in the air in seconds?
(b) What is the maximum height the object reaches above the ground in meters?
c) What is the horizontal distance the object covers in meters?
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