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

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Answer 1 · 2017-11-11T08:39:05

$4ms^(-1)$

assuming SI units

speed $=(dp)/(dt)=p'(t)$

$p(t)=t^2-2t+3$

differentiate $wrt" "t$

$p'(t)=2t-2$

$p'(3)=2xx3-2=6-2=4$

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