the height in feet, h, of a model rocket t seconds after launch is given by the equation h(t)=3 + 70t-16t²…

the height in feet, h, of a model rocket t seconds after launch is given by the equation h(t)=3 + 70t-16t². 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?\nthe rocket is traveling six times as fast when t = 3 than it is when t = 1.\nthe rocket is at a greater height when t = 3 than it is when t = 1.\nthe rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.\nthe rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

the height in feet, h, of a model rocket t seconds after launch is given by the equation h(t)=3 + 70t-16t². 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?\nthe rocket is traveling six times as fast when t = 3 than it is when t = 1.\nthe rocket is at a greater height when t = 3 than it is when t = 1.\nthe rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.\nthe rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

Answer

Brief Explanations:

The average rate of change of a function over an interval represents the average speed (in the context of position - time functions like $h(t)$) over that interval. Here, $h(t)$ is the height of the rocket as a function of time. An average rate of change of 6 between $t = 1$ and $t=3$ means the rocket travels, on average, 6 feet per second over that 2 - second interval.

Answer:

The rocket is traveling at a constant rate of 6 feet per second between $t = 1$ and $t = 3$.