# Projectile Motion

#### luna2041

First sorry if I posted on the wrong board, first time using this website.
Hi, I have a problem that I have tried to solve now for 3 hours but no progress.
It's in Swedish but I've translated it to English.

I've to calculate the time and Velocity for the ball when it its the ground and bounce of
(no need to calculate air resistance)

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#### Cervesa

$F \cdot \Delta t = m \cdot \Delta v \implies \dfrac{60N \cdot 0.5s}{0.5kg} = \Delta v = 30 \, m/s$

$\Delta y = v_{0y} \cdot t - \dfrac{1}{2}gt^2$

$-1.5 = [-30\cos(30^\circ)] \cdot t - \dfrac{1}{2}gt^2 \implies 0 = 1.5 - 15\sqrt{3} \cdot t - \dfrac{1}{2}gt^2$

solve the quadratic for the reasonable solution of $t$ ...

topsquark