Question

The equation of motion of a particle is given by \( x = a \sin \left( 50t + \frac{\pi}{3} \right) \, \text{cm}. \) The particle will come to rest at time \( t_1 \) and it will have zero acceleration at time \( t_2 \). The \( t_1 \) and \( t_2 \) respectively are _______.

• A. \( \frac{\pi}{300} \, \text{s}, \, \frac{\pi}{75} \, \text{s} \)
• B. \( \frac{\pi}{300} \, \text{s}, \, \frac{\pi}{100} \, \text{s} \)
• C. \( \frac{\pi}{300} \, \text{s}, \, \frac{\pi}{25} \, \text{s} \)
• D. \( \frac{\pi}{75} \, \text{s}, \, \frac{\pi}{25} \, \text{s} \)

Answer 1

The Correct Option is A