Question: A rocket is fired into the air with an initial velocity of 98 m/s. The height ( h ) of the rocket after t seconds

 A rocket is fired into the air with an initial velocity

A rocket is fired into the air with an initial velocity of 98 m/s. The height ( h ) of the rocket after t seconds is given by the expression h = 98t - 4.912. a. What the average rate of change over the first 2 seconds. b. At what point does the rocket reach its maximum height? Show a graphical and algebraic solution. c. Over what intervals is the rocket's height increasing and decreasing? Explain your answer both graphically and algebraically

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