Hi everyone. I'm currently working on a velocity problem. Here's what I did:
A particle moves on the x-axis so that its velocity at any time t≥0 is given by v(t)=12t^2-36t+15. At t = 1, the particle is at the origin
Find the maximum velocity of the particle for 0≤t≤2.
I drew a sign chart, and I found that 3/2 is actually the minimum. How can I get the maximum velocity?
Thanks a lot.