Question

A point moving on a coordinate line has position function s. Find the speed of the point and the direction of the movement at the given time.
s(t)=t^3-5t t=2 is this just finding the derivative and plugging in 2 in for t?

Answer 1

@zepdrix

Answer 2

@DanJS

Answer 3

yeah, the first derivative of position with respect to time is velocity, and the derivative of velocity with respect to time is acceleration

Answer 4

\[v(t)=s'(t)~~~~and~~~~a(t)=v'(t)=s''(t)\]

Answer 5

so we are finding the velocity

Answer 6

yeah, they say speed, i guess that is ok since it is stuck in one dimension in a line, only two directions to travel, either + or -

Answer 7

ok thanks