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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.