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The function s(t) describes the position of a particle moving along a coordinate line, where s...

The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds.

s(t) = 3t2 - 6t +3

A) Find the anti-derivative of the velocity function and acceleration function in order to determine the position function. To find the constant after integration use the fact that s(0)=1.

B) Find when the particle is speeding up and slowing down.

C) Find the total distance from time 0 to time 5

Math   Calculus   
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