Posted by **Ally ** on Tuesday, October 19, 2010 at 11:37pm.

A particle moves along a line so that its posistion at any t is greater than or equal to 0 is given by the function s(t)= t^3-8t+1, where s is measured in feet and t is measured in seconds.

a) find the displacement during the first three seconds

b) Find the average velocity during the first three seconds

c) Find the instantaneous velocity when t=3 seconds

d) find the accelteration of the object when t=3 seconds

e) At what value or values of t does the particle change direction?

- Calculus -
**Reiny**, Tuesday, October 19, 2010 at 11:48pm
a) find s(3) - s(0)

b) avg vel in first 3 sec = (s(3) - s(0))/3

c) find derivative of s(t), then sub in t = 3

d) find derivative of c) result, sub in t=3

e) mmmh, one of those derivatives (velocity or acceleration ) must be zero when I change direction ...

## Answer This Question

## Related Questions

- calculus - a particle starts from rest and moves along a straight line with an ...
- calculus - a particle starts from rest and moves along a straight line with an ...
- calculus - a particle starts from rest and moves along a straight line with an ...
- Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...
- Calculus (Answer Check) - A particle moves along the x-axis so that its ...
- Calculus - An ant moves along the x-axis with velocity given by v(t)=tsin(t^2), ...
- Calculus (Answer Check) - Are my answers right? If they are wrong you dont have ...
- Calculus - A particle moves along a horizontal line so that at any time t its ...
- calculus - a particle moves along a number line measured in cm so that its ...
- Calculus - Hi! I need help with this problem: For 0(smaller or equal to) t (...

More Related Questions