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 cent

Question

kow [346]

3 years ago

15

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 cent

imeters and in seconds. Find the velocity of the particle after t seconds.

Mathematics

1 answer:

Lelechka [254] · Answer 1 · 2022-08-16T01:11:30+03:00

Lelechka [254]3 years ago

6 0

<span>Find the first derivative of the given expression.

</span> $s(t)=11+\frac{ 1 }{ 4}\sin(14{\pi}t) 
\\
\\s^{'}(t)=v(t)=\frac{ 7 }{ 2 }{\pi}\cos(14{\pi}t)$ <span>
</span>