$(5$ pts$)$ If I drop a rock from $50$ m $,$ how fast will it be going when it hits the ground?

$u=50m,v^2=u^2+2gh$

$u=0,v^2=0+2\mathrm{.}9\mathrm{.}8\mathrm{.}30=\sqrt[\phantom{2}]{v^2}=\sqrt[\phantom{2}]{980}$

$,v=31\mathrm{.}3\frac{(m)}{(s)}$

$(5$ pts $)$ If I shoot the same rock horizontally at $10\frac{m}{s}$ when I drop it$,$ how far away will it land?

$(5$ pts$)$ Air drag goes as $v^2.$ A parachute has a drag coefficient, $D=10k\frac{g}{m}.$ What is the terminal speed of a $50$kg skydiver?

$(5$ pts$)$ A roller coaster car starts from rest a $10$ m above the ground, how fast is it going at the bottom?

$12/11/2024$