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Number 1 And number 2 please show all work 1) The position of an object as a function of time is given by r(t) =

Number 1 And number 2 please show all work

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1) The position of an object as a function of time is given by r(t) = (3.00 t2 - 2.00 t) i - 1.00 ts j m . Find: (a) its velocity at =2.00 s; (b) its acceleration at t=4.00 s; (c) its average acceleration between =1.00 s and t = 3.00 s. 2) At t = 0 a particle at the origin has a velocity of 15.1 m/s at 36 above the horizontal x axis. At t = 5.00 s it is at x = 21.0 m and y = 35.0 m and its velocity is 30.0 m/s at 53 above the horizontal. Find: (a) its average velocity; (b) its average acceleration

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