Question

g John is walking along a trail when he comes to the bottom of a steep cliff. Before trying to climb up it, he wonders how high it is. Jake happens to have a bow and arrow with him, and he knows it is able to launch an arrow with a maximum speed of 60.0 m/s. After shooting the arrow straight up with the bow fully extended, he hears it hit the ground at the top of the cliff 7.00 s after he launches it. How high is the cliff

Answer 1

Answer:

179.655m

Explanation:

Given

Maximum speed of the arrow v = 60m/s

Time taken to hit the top of the cliff t = 7.0s

Required

Height of the cliff H

Using the equation of motion

H = vt + 1/2gt²

Substitute into the formula:

H = 60(7) + 1/2 (-9.81)(7²) (g is negative due to upward motion of the arrow)

H = 420-4.905(49)

H = 420-240.345

H = 179.655m

Hence the cliff is 179.655m high