PLEASE HELP WILL GIVE A MEDAL
The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Question

PLEASE HELP WILL GIVE A MEDAL
The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

anonymous · Answer

@DanJS

danjs · Answer

The position s(t) is linear, the velocity will be constant , the same at any time t.

anonymous · Answer

so how do i find the solution?

danjs · Answer

The derivative , is the slope of the tangent line at a point on the graph. If the graph is a straight line. The tangent at any point will be the slope of the line. 

Also, taking the derivative, s ' (t) = v(t) = -6

anonymous · Answer

okay but then wouldnt it be -6 at t=2

danjs · Answer

yes, it would be -6 at any time t

anonymous · Answer

so that would be my answer for the velocity?

danjs · Answer

it is a straight line for position vs time. The velocity is the change in position vs time, it is always constant , the slope of the line, -6

anonymous · Answer

oh wow okay thank you!