The position of an object moving along a line is given by $p(t) = 3t - tcos(( pi )/3t)$ . What is the speed of the object at $t = 5$ ?

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Answer 1 · 2016-11-07T16:58:48

$s(5) ~~ -2.0$

Given: $p(t) = 3t - tcos(pi/3t)$

The speed is the first derivative:

$s(t) = 3 - cos(pi/3t) + pi/3tsin(pi/3t)$

$s(5) ~~ -2.0$

The position of an object moving along a line is given by p(t) = 3t - tcos(( pi )/3t) p(t) = 3t - tcos(( pi )/3t) . What is the speed of the object at t = 5 t = 5 ?