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# A stone is thrown horizontally at 8 ms from a cliff 78.4 m high how far from the base of the cliff will the stone strike the ground?

Updated: 9/14/2023

Wiki User

15y ago

According to the Laws of Physics, Horizontal Velocity is unaffected by Vertical Velocity. Thus you need to first find how long it will take the stone to hit the ground.

Assume:

Acceleration due to gravity = 9.8 m/s^2

Velocity due to gravity = 9.8x m/s, where x is seconds

Displacement due to gravity = 9.8x^2 m, where x is seconds

Set Displacement = to 78.4m

78.4m = 9.8x^2 m

and solve for..

x = sqrt(8) = 2 sqrt(2)

Then to find displacement horizontally, multiply time*velocity horizontally

distance from base of cliff = (2 sqrt(2))s * 8 m/s = 16 sqrt(2) m

Wiki User

15y ago

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Q: A stone is thrown horizontally at 8 ms from a cliff 78.4 m high how far from the base of the cliff will the stone strike the ground?
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