Posted by **B <3** on Sunday, September 21, 2008 at 4:07pm.

*VELOCITY OF A CAR* Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function s = f(t) = 2t^2 + 48t.

a. Calculate the average velocity of the car over the time intervals [20,21], [20, 20, 20.1], and [20, 20.01].

b. Calculate the (instantaneous) velocity of the car when t = 20.

c. Compare the results of part (a) with that of part (b).

*Can someone please help me? I have been trying to do my homework for some time now and I am stuck on this problem. I tried to work it out, but I did not understand what to substitute in for “t”. I used the average velocity formula and did f(t+h)-f(t) divided by h …. And I got: 4t + 48. Somehow, I think this is way wrong! Can you tell me where I went wrong here and how to do this problem!?? Pleaseee!

any help would be great!!! :)

- Calculus - average velocity -
**bobpursley**, Sunday, September 21, 2008 at 4:16pm
The instantaneous velocity is indeed 4t+48

However, the average velocity is the average of the instaneous velocties at two times. Example, in a, times 20,and times 20.1

v(20)=4t+48=128

v(20.1)=128.4

average: 128.2

- Calculus - average velocity -
**Anonymous**, Sunday, February 8, 2009 at 7:12pm
do you have the dike too?

## Answer This Question

## Related Questions

- physics - A car is stopped at a traffic light. It then travels along a straight ...
- Physics - A car is stopped at a traffic light. It then travels along a straight ...
- physics college - An antelope moving with constant acceleration covers the ...
- Math 160 - The position function of an object moving along a straight line is ...
- physics - A Honda Civic travels in a straight line along a road. Its distance x ...
- Physics - A Honda Civic travels in a straight line along a road. Its distance x ...
- Math - A car moves along a straight road in such a way that its velocity (in ...
- physics - A car starts from rest and accelerates uniformly along a straight ...
- physics - A man on the top of a 40 meter tower directly overhead the road is ...
- physical science - A car starts from rest and accelerates uniformly along a ...

More Related Questions