The height in feet, h, of a model rocket t seconds after launch is given by the equation h (t) = 3 + 70t - 16t^2. the average rate of change in h(t) between t = 1 second and t = 3 second is 6. what does the average rate of change tell you about the rocket? a. the rocket is traveling six times as fast when t = 3 than it is when t = 1. b. the rocket is at a greater height when t = 3 than it is when t = 1. c. the rocket is 6 feet higher above the ground when t = 3 than it is when t = 1. d. the rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

The rocket is at a greater height when t = 3 than it is when t = 1.

Given

The height in feet, h, of a model rocket t seconds after launch is given by the equation h (t) = 3 + 70t - 16t^2.

The average rate of change in h(t) between t = 1 second and t = 3 seconds is 6.

The instantaneous rate of change in function is based on one of its variables.

On differentiation the given function;

The average rate of change in h(t) between t = 1 second and t = 3 seconds is 6.

Therefore,

The average rate of change that tells you about the rocket is;

Hence, the rocket is at a greater height when t = 3 than it is when t = 1.

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