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

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Answer 1 · 2017-05-15T06:42:05

The speed is $=3.44ms^-1$

The velocity is the derivative of the position.

$p(t)=4t-sin(pi/4t)$

$v(t)=p'(t)=4-(pi/4)cos(pi/4t)$

Therefore,

$v(9)=4-(pi/4)cos(pi/4*9)=3.44ms^-1$

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