The position of an object moving along a line is given by #p(t) = t^3 - 2t +2#. What is the speed of the object at #t = 5 #?

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Answer 1 · 2016-04-21T13:17:27

Speed is the first derivative of position, #p'(t)=3t^2-2#. Substituting in #t=5# #s# yields #speed=p'(t)=3(5)^2-2=75-2=73# #ms^-1#.