The position of an object moving along a line is given by $p(t) = 7t - cos(( pi )/3t) + 2$ . What is the speed of the object at $t = 13$ ?

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Answer 1 · 2018-01-20T11:17:41

The speed is $=7.91ms^-1$

The speed is the derivative of the position

$p(t)=7t-cos((pi/3)t)+2$

$v(t)=7+(pi/3)sin(pi/3)*t$

When $t=13$ , the speed is

$v(13)=7+(pi/3)sin((pi/3)*13)$

$=7.91ms^-1$

The position of an object moving along a line is given by p(t) = 7t - cos(( pi )/3t) + 2 p(t) = 7t - cos(( pi )/3t) + 2 . What is the speed of the object at t = 13 t = 13 ?