SOLUTION: The position of an object at time t is given by s(t) = 3 - 4t. Find the instantaneous velocity at t = 8 by finding the derivative

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Question 1138515: The position of an object at time t is given by s(t) = 3 - 4t. Find the instantaneous velocity at t = 8 by finding the derivative
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

As the question tells, the instantaneous velocity is the first derivative of the position.
position equation given: s%28t%29+=+3+-+4t
derivative, v%28t%29 = s'%28t%29
s'%28t%29 = [+3+-+4t]' = %283%29' - %284t%29' = 0 - 4(t') = -+4
Then, the velocity is constant (does not depends on t), and its value is -+4.