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

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Answer 1 · 2017-05-13T11:18:47

The speed is $=1ms^-1$

The velocity is the derivative of the position.

$p(t)=sint+2$

$v(t)=p'(t)=cost$

Therefore,

$v(2pi)=cos(2pi)=1ms^-1$

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