Question

PLEASE HELP! I will give brainliest! If an object is dropped from a tall building, then the distance (in feet) it has fallen after t seconds is given by the function d(t)=16t^2.
Determine the average speed (rate of change) between 3 and 8 seconds.

Answer 1

Answer:

$160ms^{-1}$

Step-by-step explanation:

$d(t)=16t^2$

To work out rate of change of a function, you must differentiate it.

$\frac{\Delta d(t)}{\Delta t} =32t$

$d'(8)-d'(3)=32*8 - 32*3=32*5=160ms^{-1}$