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4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are just to find the derivatives and plug the time- 2.4 s (b) acceleration is not constant, so average velocity can just be found as (xf- xi)/t (c) acceleration is not constant, so it can be found as (vf- vi)/t
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