(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A small rock of mass m is kicked from the edge of a perfectly vertical cliff of height h, giving

it an initial velocity ~vo that’s purely horizontal. The rock lands at a distance d away from

the bottom of the cliff. The ground there is assumed horizontal and we neglect air resistance.

Derive the distance traveled by the rock in terms of h and d only.

2. Relevant equations

(h) y=-gt^2/2

(d) x=v0t

Using the two parametric equations above and the arc length formula for parametric equations.

Integrate[Sqrt[(y')^2+(x')^2],t,0,x/v0]

3. The attempt at a solution

We could not solve the integral

and the professor did not allow us to have vo and t in the final answer!!!

Help...it's due tmr....

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# Homework Help: The distance (not horizontal nor vertical) of a rock traveled in a projectile

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