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a) Given s(t)= -10t^2+2t+5 where s(t) is the position of an object in feet and the...

a) Given s(t)= -10t^2+2t+5 where s(t) is the position of an object in feet and the variable “t” is in seconds, find each of the following:
A) Function for the velocity
B) Function for the Acceleration
C) The Velocity and Acceleration at t = 2 seconds

b) A rectangle is to have a perimeter of 60 ft. Find the dimensions of the
rectangle such that the dimensions yield maximum area.

(please show all work possible)

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