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

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Answer 1 · 2017-12-09T09:34:12

The speed is $=1/2ms^-1$

The position of the object is

$p(t)=sin(t-pi/2)+3=-cos(t)+3$

The speed is the derivative of the position

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

Therefore,

When $t=pi/6$

The speed is

$v(pi/6)=sin(pi/6)=1/2$

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