An object dropped from rest from the top of a tall building on Planet X falls a distance d (t )equals 17 t squared feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1= 6 to t2=10. This rate is known as the average velocity, or speed.

The average speed of the object is 272 m/s.    

Explanation:

Given that,

An object dropped from rest from the top of a tall building on Planet X falls a distance of :

t is time in seconds

We need to find the average rate of change of distance with respect to time as t changes from t = 6 s to t =10 s. The rate of change of distance wrt time is called velocity of an object. Average velocity is given by :

So, the average speed of the object is 272 m/s.