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# Projectile motion-initial speed

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A soccer player kicks a rock horizontally off a 40.0m high cliff into a pool of water. If the player hears the sound of the splash 3.00s later, what was the initial speed given to the rock? Assume the speed of sound in air to be 343m/s

##### Solution Summary

The solution calculates initial speed for projectile motion.

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See attached file for sketch

We take the origin to be the top of the cliff.

y increases as we move down the cliff

The rock is hit with a velocity V in the horizontal direction

This velocity has no component in the y direction

x = V *t (since there is no acceleration in the x direction)

y=ut+1/2 a t ...

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