SOLUTION: The distance s of a moving particle along a horizontal line from a fixed point O is given by s(t)=3t^2-8t+4, where s is in meters and t is in seconds. Find the particle’s initial

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The distance s of a moving particle along a horizontal line from a fixed point O is given by s(t)=3t^2-8t+4, where s is in meters and t is in seconds. Find the particle’s initial      Log On

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Question 852654: The distance s of a moving particle along a horizontal line from a fixed point O is given by s(t)=3t^2-8t+4, where s is in meters and t is in seconds. Find the particle’s initial velocity
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
s(t)=3t^2-8t+4
velocity is the first derivative of the position function s(t)
s' = 6t -8
for t = 0, the initial velocity is -8 m/sec
note that velocity is a vector and a negative just means the object is moving in the opposite direction