an object is moving according to the following equation s(t) = 5t - 15t^2 + t^2 s in meter and t in second.

1) identify the times when the distance is maximum and minimum and clearly identify the points.
2)Evaluate the speed at the times in a. Also find the speed and acceleration at t =0,1.5 and 5 seconds.
3)find the time when points of inflexion occur a.

1 answer

I suspect a typo

why would you have 2 terms in t^2 without adding them together?
Is the last term supposed to be t^3 ?

Clarify before I attempt it.