At t = 2, is the ball rising or falling? Is it's velocity increasing or decreasing?
The ball stops moving at its highest point.
The height is given by h(t) = –4.9t2 + 11t + 6.
h(answer from part (b)) ≈ 12.173 m; so yes.
Before you evaluate the height, find the time when
v(t) = −5.
Be sure to explain the significance of BOTH the integrand and the bounds.