Respuesta :
average rate simply means, a constant rate something is moving about during a certain period.
now, object quite often or most always do not move at some constant speed, but the average rate gives a ballpark of how it must be moving.
so, since in this case the "slope" or average rate is a positive 6, one can say the rocket is higher at t = 3 than at t = 1.
now, object quite often or most always do not move at some constant speed, but the average rate gives a ballpark of how it must be moving.
so, since in this case the "slope" or average rate is a positive 6, one can say the rocket is higher at t = 3 than at t = 1.
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.
What is differentiation?
The instantaneous rate of change in function is based on one of its variables.
On differentiation the given function;
[tex]\rm h (t) = 3 + 70t - 16t^2\\\\\dfrac{d(h)}{dt}=0+70-32t[/tex]
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;
[tex]\rm Average \ rate = \dfrac{6}{3-1}\\\\Average rate = \dfrac{6}{2}\\\\Average \ rate =3[/tex]
Hence, the rocket is at a greater height when t = 3 than it is when t = 1.
To know more about differentiation click the link given below.
https://brainly.com/question/14866508
