Exercise 8

An object moving vertically has its height at time $t$ (measured in feet, with time in seconds) given by the function $h(t) = 3 + \frac{2\cos(t)}{1.2^t}$.

1. What is the object's instantaneous velocity when $t =2$?

2. What is the object's acceleration at the instant $t = 2$?

3. Describe in everyday language the behavior of the object at the instant $t = 2$.