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

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Answer 1 · 2016-06-01T06:57:34

$v(3)=2+(pisqrt2)/8$

$v(t)=d/(d t) p(t)$

$v(t)=d/(d t)=(2t-cos(pi/4 t))$

$v(t)=2+pi/4sin(pi/4 t)$

$v(3)=2+pi/4sin(pi/4*3)$

$v(3)=2+pi/4sqrt(2)/2$

$v(3)=2+(pisqrt2)/8$

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