# Motion in two dimensions

#1 A water slide is constructed so that right before the water you are moving horizontally and you fall a certain distance vertically and travel a certain distance horizontally. Given a certain amount of time (ignoring friction and air resistance).

a) Find height from which you started at

You are given how far person travels horizontally after exiting the end of slide and how long it takes to travel that horizontal distance.

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#### Solution Preview

We are given

x - the horizontal distance the person travels.

t - the time it take the person to travel that distance.

since there is no force applied to the person in the horizontal direction, the person's horizontal acceleration is zero.

Thus:

x = Vt

Where V is the person's ...

#### Solution Summary

The solution contains detailed explanations of energy considerations in this motion.