### Home > CALC > Chapter 6 > Lesson 6.2.2 > Problem 6-74

6-74.

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*) = –4.9*t*^{2} + 11*t* + 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.