1. Tardigrade
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  4. The equation of motion of a particle starting at t = 0 is given by x = 5sin(20t+ (π/3)) where x is in centimeter and t is in second. When does the particle come to rest for the second time?

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Q. The equation of motion of a particle starting at $t = 0$ is given by $x \,= \,5sin(20t+ \frac {\pi}{3})$ where $x$ is in centimeter and t is in second. When does the particle come to rest for the second time?

Solution:

$v = 100 cos (20t +\frac {\pi}{3}) = 0$
For the second time, $20 t +\frac {\pi}{3} = \frac {3\pi}{2}$
$t = \frac {7\pi }{120} second $