The position of an object moving along a line is given by $p(t) = 2t^3 - 2t^2 +2$ . What is the speed of the object at $t = 6$ ?

Question

1364 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-09T18:22:56

$"the answer : "v(6)=192$

$"notice : " (d)/(d t)=v(t)$

$"where v is speed"$

$"we should find "(d)/(d t) p(t)" for the time t=6"$

$(d)/(d t) p(t)=v(t)=3*2 t^2-2*2*t^1+0$

$v(t)=6t^2-4t$

$v(6)=6*6^2-4*6$

$v(6)=216-24$

$v(6)=192$

The position of an object moving along a line is given by p(t) = 2t^3 - 2t^2 +2p(t) = 2t^3 - 2t^2 +2. What is the speed of the object at t = 6 t = 6 ?