A car travels for 10 minutes. it's velocity is given by v=960t-5t, where t is in minutes and v is in ft/min. Find the maximum speed in ft/min during those minutes.

Question

Please help I have no idea how to solve this problem.

Answer 1

First, I doubt that 960t-5t is correct.

If you meant v=960-5t, then clearly 960 is its maximum speed, whence it slowed down.

If you meant v=960t-5t^2, that's a bit more interesting. Then the maximum speed is at t=96, and v(96) = 46080

But, if we stop counting at t=10, then the max speed is at t=10.

I think the problem has been garbled.

Answer 2

Oops sorry It is supposed to be v=960t-5t^3

Answer 3

Wouldn't the max still be at t=10