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29 October, 14:03

A robot probe drops a camera off the rim of a 239 m high cliff on mars, where the free-fall acceleration is - 3.7 m/s2.

a. find the velocity with which the camera hits the ground.

b. find the time required for it to hit the ground.

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  1. 29 October, 17:52
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    a. We can find the velocity when the camera hits the ground. v^2 = (v0) ^2 + 2ay = 0 + 2ay v = sqrt{ 2ay } v = sqrt{ (2) (3.7 m/s^2) (239 m) } v = 42 m/s The camera hits the ground with a velocity of 42 m/s b. We can find the time it takes for the camera to hit the ground. y = (1/2) a t^2 t^2 = 2y / a t = sqrt{ 2y / a } t = sqrt{ (2) (239 m) / 3.7 m/s^2 } t = 11.4 seconds

    It takes 11.4 seconds for the camera to hit the ground.
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