1.The position of a moving particle as a function of time is given by st 13t3 t 1 where s

1.The position of a moving particle as a function of time is given by
s(t) = 1/3t^3 – t +1, where s is in meters and t is in seconds. Find the time at which the particle is at rest and the acceleration of the particle at t = 3 s.

2. A car moves on a straight road. The cars position at time t is given by s(t) =
t+ sin t where s is in meters and t in seconds. Find the acceleration at t = Pi/4;s.

3. Find d /dx [ 1 + sin^2 x / x tan^315x]
4. df^-1 /dx for f(x) = x + 3 / 2x + 5
at x = 3

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