The position of an object moving along a line is given by $p(t) = 3t - 2cos(( pi )/8t) + 2$ . What is the speed of the object at $t = 3$ ?

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Answer 1 · 2016-04-14T14:15:03

3.016

The position is given as

$p(t)=3t-2cos(pi/8 t)+2$

Hence, the speed is given as

$v(t) = (dp)/dt = 3+2pi/8sin(pi/8 t)$

Hence the speed at $t = 3$ is:

$v(3) = 3+2pi/8* sin((3pi)/8) ~~3.016$

The position of an object moving along a line is given by p(t) = 3t - 2cos(( pi )/8t) + 2 p(t) = 3t - 2cos(( pi )/8t) + 2 . What is the speed of the object at t = 3 t = 3 ?