# Calculus

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The position of a body at time t sec is s=t^3-6t^2+9t m. Find the body's acceleration each time the velocity is zero.

• Calculus -

v = 3t^2-12t+9
= 3(t-3)(t-1)

a = 6t-12
so find a at t=1,3

• Calculus -

the velocity of a car (measured in ft/sec) "t" seconds. after starting from rest and moving in a straight line is given by f(t)=2t (0<t<20). find the displacement of a car at any time "t"

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