Question

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

• A. 5.21 cm/s²
• B. 3.62 cm/s²
• C. 1.81 cm/s²
• D. 0.62 cm/s²

Answer 1

The correct option is D

0.62 cm/s²

$a_{max}={\omega }^{2}a={\left(\frac{\pi }{4}\right)}^2=0.62cm/se{c}^2$ [ $\because$ a = 1 ]