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 $t = 8$ ?

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Answer 1 · 2018-06-02T06:15:00

The speed is $=2.26ms^-1$

The speed is the derivative of the position

$p(t)=2t-sin(pi/6t)$

$v(t)=p'(t)=2-pi/6cos(pi/6t)$

Therefore,

When $t=8$

$v(8)=2-pi/6cos(pi/6*8)=2.26ms^-1$

The position of an object moving along a line is given by p(t) = 2t - sin(( pi )/6t) p(t) = 2t - sin(( pi )/6t) . What is the speed of the object at t = 8 t = 8 ?