1. 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.

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

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

Are you having trouble finding the differential of the equation for displacement?

3. 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!

4. 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

5. v(t)=2*4*t^3-5*3*t^2+1
a(t)=2*4*3^2-5*3*2*t

6. 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