Question: The position of a certain particle depends on the Time according to x = (1m/s 2 )t 2 (5m/s)t+1m. (a) Find the displacement and average

The position of a certain particle depends on the Time according to x = (1m/s2)t2 −(5m/s)t+1m.

(a) Find the displacement and average velocity for the interval 3 s ≤ t ≤ 4 s. 

(b) Find a general formula for the displacement for the time interval from t to t + ∆t. 

(c) Use the limiting process to obtain the instantaneous velocity for any time t.

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