Question

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2...

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds.

(a) Find the average velocity for the time interval from 1.00 s to 3.00 s.
(b) Find the instantaneous velocity at t = 1.00 s.
(c) Find the average acceleration from 1.00 s to 3.00 s.
(d) Find the instantaneous acceleration at t = 1.00 s.

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