Question

The displacement of a particle on a vibrating string is given by the equation s(t)=11+1/4sin(14PIt), where s is measured in centimeters and in seconds. Find the velocity of the particle after t seconds.

Answer 1

Find the first derivative of the given expression.

Answer 2

am unsure how to do that, step by step help would be great

Answer 3

I sit the expression? \[s(t)=11+\frac{ 1 }{ 4\sin(14{\pi}t) }\]

Answer 4

Is it the expression?

Answer 5

s(t)= (1/4) sin(14pit)

Answer 6

You mean this ?????\[s(t)=\frac{ 1 }{ 4 }\sin(14{\pi}t)\]

Answer 7

yes

Answer 8

\[s^{'}(t)=v(t)=\frac{ 7 }{ 2 }{\pi}\cos(14{\pi}t)\]

Answer 9

hell yeah...thanks!