Problema Solution
A person standing close to the edge on the top of a 170 foot building throws a baseball vertically upward. The quadratic function given below models the ball's height above the ground, s(t), in feet, t in seconds after it was thrown.
The balls reaches its maximum height of ____ feet after _____ seconds.
Answer provided by our tutors
S = uT + 1/2*aT2
v = u + aT
at maximum height v =0 and in upward motion a = -g
so u + (-g)T = 0
u = gT
so s = gT2 + 1/2*(-g)T2
= 1/2gT2
maximum height is 1/2gT2 at time T = u/g