A rock is thrown off a cliff at an angle of51ºwith respect to the horizontal. The cliff is 110 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?
A rock is thrown off a cliff at an angle of51ºwith respect to the horizontal. The cliff is 110 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 att= 2.0 s,t= 4.0 s, andt= 6.0 s?
Given data:
- The angle of projection of the rock with respect to the horizontal, θ=51.
- The height of the cliff, H=110 m.
- The initial speed of the rock, u=30 m/s.
a)
The initial velocity of the rock has two components; a vertical component uy=usin and a horizontal component ucosθ.
The vertical component of velocity is affected by gravity while the horizontal component of velocity remains unchanged.
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