Asked by Nicole

You're on a magic bridge floating 25 meters above a lake.  You through a rock at an angle of sixty degrees.  It takes 5.8 seconds for the rock to reach it's highest point.

(a)  With what speed did you throw the rock?
(b)  How far away from the bridge horizontally did the rock land?

Answers

Answered by bobpursley
sixty degres measured how?
Answered by Nicole
Measured to the horizontal

Throw*
Answered by bobpursley
Then the vertical velocity initial is Vsin60.

At the top, vertical velocity is zero.

Vtop=Vivertial-gt
so time to top= Vivertial/g=Vsin60 /g
then solve for V

Now how far: You have to find vertical time in air.
hf=hi+Vivertical*t-1/2 g t^2
0=23+Vsin60* t-1/2 g t^2

solve for t, time in air. Use the quadratic formula.

Now distance: distance= Vhoriz*timeinair
where vhoriz= Vcos60
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