Using the results from the solution to part b find the

Question

Question: FLIGHT OF A ROCKET The altitude (in feet) of a rocket t sec into flight is given by

s = f(t) = -2t³ + 114t² + 480t + 1          (t ≥ 0)

a. Find an expression √ for the rocket's velocity at any time t.

b. Compute the rocket's velocity when t = 0, 20, 40, and 60. Interpret your results.

c. Using the results from the solution to part (b), find the maximum altitude attained by the rocket.