Posted by **Alan Thomas** on Thursday, January 14, 2010 at 5:48pm.

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 23 m/s. The cliff is h = 54 m above the water's surface. How long does it take for the stone to fall to the water?

With what speed does it strike the water?

- Physics -
**bobpursley**, Thursday, January 14, 2010 at 5:49pm
If the initial velocity is horizontal, it has not influence on the time of fall.

Time of fall is determined by the height, and by gravity.

h=1/2 g t^2

solve for t, time.

- Physics -
**Alan Thomas**, Thursday, January 14, 2010 at 5:50pm
Thank you.

- Physics -
**Alan Thomas**, Thursday, January 14, 2010 at 5:51pm
How would I calculate the speed?

- Physics -
**bobpursley**, Thursday, January 14, 2010 at 5:53pm
the vertical speed is

vf= g *time

the horizontal speed is the kicking speed.

Vftotal=sqrt (Vh^2+ Vvf^2)

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