The position of an object moving along a line is given by $p(t) = 4t - sin(( pi )/3t)$ . What is the speed of the object at $t = 9$ ?

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Answer 1 · 2016-05-07T07:18:44

speed $(dp(t))/dt=4+pi/3$

Differentiate $p(t)$ with respect to time $t$ then substitute $t=9$

$p' (t)=d/dt(4t)-d/dt(sin((pit)/3))$ then substitute $t=9$

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The position of an object moving along a line is given by p(t) = 4t - sin(( pi )/3t) p(t) = 4t - sin(( pi )/3t) . What is the speed of the object at t = 9 t = 9 ?