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

Question

1259 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-02T20:05:06

$v(3)=(2-pi)/2$

$d/(d t)p(t)=v(t)=1-pi/3*cos (pi/3) t$

$v(3)=1-pi/3*cos(pi/3)*3$

$cos (pi/3)=1/2$

$v(3)=1-pi/cancel(3)*1/2*cancel(3)$

$v(3)=1-pi/2$

$v(3)=(2-pi)/2$

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