1 answer

What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t)

Question:

What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = t^3-2t+2# from #t in [2, 3]#?

Answers

#v_a=15 #

Explanation:

#v_a=int_2^3( t^3-2*t+2)dt#
#v_a=|3t^2-2|_2^3#
#v_a=(3*3^2-2)-(3*2^2-2)#
#v_a=(3*9-2)-(3*4-2)#
#v_a=(27-2)-(12-2)#
#v_a=25-(10)#
#v_a=25-10#
#v_a=15 #

.

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