During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s from a platform 3.2 m high. The height, h, in meters, of the rocket after t seconds can be modelled by the function h(t) = −4.9t² + 34.5t + 3.2. a. Determine the velocity and acceleration of the rocket at 3 s. b. When the rocket reaches its maximum height, it explodes to create a starburst display. How long does it take for the rocket to reach its maximum height? C. At what height does the starburst display occur?

Terhyon throws throws a football to Javon. The throw lasts for 4 seconds and reaches a maximum velocity of 40m/s. Calculate the acceleration of the football.

When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute is given by  v = 176(1 − 0.834t ),  where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 6 seconds? (Round your answer to two decimal places.) ft/s