You accidentally throw your car keys horizontally at 8.0 m/s from a cliff 64-m high. How far from the base of the cliff should you look for the keys?

Question

You accidentally throw your car keys horizontally at 8.0 m/s from a cliff 64-m high.  How far from the base of the cliff should you look for the keys?

curiouser_alice · Answer

How long is it in the air (use gravity equation) x 8 m/s (horizontal speed).  Force of gravity on earth = 9.8 m/s2.

curiouser_alice · Answer

Horizontal motion and vertical motion are independent

anonymous · Answer

29 m (3.61 s to fall)

anonymous · Answer

Its 28.56 m 
Here is the explation, As $$ y=u \sin \theta-\frac{ 1 }{ 2 } g t{2}  $$ where y=-64 (for downward motion), u=8m/s and for horizontal throw,  $$\theta=0^{0}$$ hence t=3.57s again applying, $$x=u \cos \theta * t$$ we have x=28.56m

anonymous · Answer

actually, it us 3.55 seconds

anonymous · Answer

so the answer is 28.4 meters