The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative.

How would I solve this?

Question

The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative.

How would I solve this?

anonymous · Answer

s'(t) = -2. So s'(6) = -2

danjs · Answer

yea,   there is no acceleration, it is traveling in a straight line, the velocity is the slope

danjs · Answer

a(t) = s ''(t) = 0

anonymous · Answer

@sourwing so the final answer is -2?

solomonzelman · Answer

Yes, the final answer is 2.
In this case, notice, the velocity is given by a line y=-2 and that means that for any value of x the veloicty is same.

(and acceleration, the 2nd derivative, is 0)

solomonzelman · Answer

oh, -2 (typo)

solomonzelman · Answer

to make sure, one more time.
the final ans is -2