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?

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