In: Math
Assume that the height of a ball in feet off of the ground after t seconds is given by the function h(t).
If you know the following about the function h and its derivative
1. h(5) = 250 ft
2. h'(1) = 15 ft/sec
3. h'(5) = 0 ft/sec
4. h'(6) = -2 ft/sec
Recall that h'(t) is the derivative of h at seconds, and h(t) is the function h evaluated at t seconds.
Explain what each of the 4 statements means about he ball and its flight.
Hint. Think about what the derivative means in terms of increasing and decreasing functions and what does it mean when the derivative is zero (review chapters 5.1 and 5.2 if necessary)