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

Question

1409 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-30T06:50:46

The speed is $=2.74ms^-1$

The position of the the object is given by the equation

$p(t)=3t-sin(1/6pit)$

The speed is the derivative of the position

$v(t)=(dp)/(dt)=3-1/6picos(1/6pit)$

When $t=2$

$v(t)=3-1/6picos(1/6pi*2)$

$=3-1/6picos(1/3pi)$

$=3-1/6pi*1/2$

$=2.74$

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