The position of an object moving along a line is given by $p(t) = 2t - sin(( pi )/4t)$ . What is the speed of the object at $t = 3$ ?

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Answer 1 · 2017-10-28T06:02:35

The speed is $=1.44ms^-1$

The speed is the derivative of the position

$p(t)=2t-sin(1/4pit)$

Therefore,

$v(t)=p'(t)=2-1/4picos(1/4pit)$

When $t=3$

$v(3)=2-1/4picos(3/4pi)=1.44ms^-1$

The position of an object moving along a line is given by p(t) = 2t - sin(( pi )/4t) p(t) = 2t - sin(( pi )/4t) . What is the speed of the object at t = 3 t = 3 ?