Question

The displacement of an oscillating particle varies with time (in seconds) according to the equation y (cm) = sin$\frac{\pi}{2}\left( \frac{t}{2} + \frac{1}{3} \right)$. The maximum acceleration of the particle is approximately

• A. $5.21cm/s^{2}$
• B. $3.62cm/s^{2}$
• C. $1.81cm/s$
• D. $0.62cm/s^{2}$

Answer 1

Answer: (D)

$0.62cm/s^{2}$

Answer 2

${a2{\left( \frac{\pi}{4} \right)^{2}}^{2}}_{\max}$ [$\because$a =1]