# Velocity and acceleration

• May 27th 2009, 07:28 AM
lisa1984wilson
Velocity and acceleration
The position s(t) of an object moving is in a straight line is given:

s(t)=2t^4-5t^3+t-3

a. Find object velocity v(t) and acceleration a(t).
b. find all times t when the acceleration is 0.
• May 27th 2009, 07:36 AM
craig
Quote:

Originally Posted by lisa1984wilson
The position s(t) of an object moving is in a straight line is given:

s(t)=2t^4-5t^3+t-3

a. Find object velocity v(t) and acceleration a(t).
b. find all times t when the acceleration is 0.

$s(t)=2t^4-5t^3+t-3$

Velocity is $\frac{ds}{dt}$, and Acceleration is $\frac{d^2s}{dt^2}$ or $\frac{dv}{dt}$.

Are you having trouble finding the differential of the equation for displacement?
• May 27th 2009, 07:39 AM
lisa1984wilson
I have an exam coming up and I just want to practice some before tomorrow because I'm not sure how to do them at all!
• May 27th 2009, 07:41 AM
craig
Were you aware that the equation for velocity is found by differentiating the equation for displacement?

Put up your work so far and see what you get :)
• May 27th 2009, 09:21 AM
lisa1984wilson
v(t)=2*4*t^3-5*3*t^2+1
a(t)=2*4*3^2-5*3*2*t
• May 27th 2009, 01:54 PM
craig
Quote:

Originally Posted by lisa1984wilson
v(t)=2*4*t^3-5*3*t^2+1
a(t)=2*4*3^2-5*3*2*t

Your equation for velocity seems correct, I cannot read your one for acceleration though, could you take a minute and put it in the correct latex code.

Latex Tutorial