The position of an object moving along a line is given by p(t) = 2t - sin(( pi )/6t) . What is the speed of the object at t = 16 ?

1 Answer
Narad T.
Nov 9, 2016

The speed is =2+pi/12

Explanation:

If the position is p(t)=2t-sin(pi/6t)
Then the velocity is given by the derivative of p(t)
:. v(t)=2-pi/6cos(pi/6t)
When t=16
v(16)=2-pi/6cos(pi/6*16)
=2-pi/6cos(8/3pi)=2-pi/6*(-1/2)
=2+pi/12

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