a stone is thrown horizontally with an initial speed of 10 m/s from a bridge. Assuming that air resistance is negligible, how long would it take the stone to strike water 80 m below the bridge?

Guest Apr 28, 2017

#1**+1 **

a stone is thrown horizontally with an initial speed of 10 m/s from a bridge. Assuming that air resistance is negligible, how long would it take the stone to strike water 80 m below the bridge?

The stone falls downwards with gravity, regardless of its horizontal movement.

\(freefall:\\v=gt\\s=\frac{1}{2}gt^2\\t=\sqrt{\frac{2h}{g}}\\v=\sqrt{2gh}\)

\(g=9.81m/sec^2\\h=80m\\\color{blue}t=\sqrt{\frac{2h}{g}}\)

\(t=\sqrt{\frac{2\cdot 80m}{9.81m/sec^2}}\)

\(t=4.04\ sec\)

!

asinus
Apr 28, 2017