posted by josephz on .
A rock is thrown vertically from the edge of a cliff that is 500 ft high. It takes 6.5 seconds for the rock to hit the ground at the base of the cliff. Assume air resistance is negligible.
(a) What was the initial velocity (magnitude and direction) of the rock?
(b) What was the magnitude of the velocity of the rock just before impact with the ground?
(a) They have already told you that the initial rock direction was vertical (up).
y = 500 + Vo*t - 16.1 t^2
= 0 then t = 6.5
0 = 500 + 6.5*Vo - 16.1*(6.5)^2
Solve for Vo.
V(t) = Vo - 16.1 t
Substitute t = 6.5 s and solve for V at that time.
The number 16.1 is the value of g/2, in units of ft/s^2