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 $speed=p'(t)=3(5)^2-2=75-2=73$ $ms^-1$ .

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