### Home > CALC > Chapter 6 > Lesson 6.1.3 > Problem 6-39

6-39.

Acceleration is the rate of change of velocity...

There is a relationship between the +*C* and the initial velocity.

Velocity is the rate of change of position...

*s*(*t*) = −16*t*^{2} + 120*t* + 100

First find the TIME when the object hits the ground: *s*(*t*) = 0.Then evaluate *v*(*t*) at that time.

Find the vertex of the position function. You could use Algebra or Calculus.

Where is the slope of *s*(*t*) the steepest? Remember that speed is the absolute value of velocity.