Problema Solution
A soccer ball is kicked from the ground and travels a parabolic path. The path can be modeled by the function h(t)=-5t squared +19.5t, where h(t) is the height of the soccer ball in meters above the ground t seconds after being kicked. Assuming the ball lands on level ground, about how long is the ball in the air?
Answer provided by our tutors
h(t)=-5t^2 +19.5t
we need to find t, t different from 0, such that h(t) = 0 that is:
-5t^2 + 19.5t = 0
by solving we find:
t = 3.9 s
click here to see the step by step solution of the equation:
the ball is 3.9 seconds in the air.