The position of an object moving along a line is given by $p(t) = 3t - cos(( pi )/8t) + 2$ . What is the speed of the object at $t = 7$ ?

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Answer 1 · 2017-02-28T09:22:08

$"The speed of object at t=7 is v(7)=3.78"$

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

$(d p(t))/(d t)=3+pi/8*sin(pi/8 t)+0$

$v(t)=3+pi/8*sin(pi/8 t)$

$v(7)=3+pi/8+sin(pi/8*7)$

$sin((7pi)/8)=0.38268343$

$v(7)=3+pi/8+0.38268343$

$v(7)=pi/8+3.38268343$

$pi/8=0.39269908$

$v(7)=0.39269908+3.38268343=3.7753825$

$v(7)=3.78$

The position of an object moving along a line is given by p(t) = 3t - cos(( pi )/8t) + 2 p(t) = 3t - cos(( pi )/8t) + 2 . What is the speed of the object at t = 7 t = 7 ?