Question

The displacement of an oscillating particle varies with time (in seconds) according to the equations y(cm)=sinπ/2(t/2+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 distance moved by the particle in one time period is 1 cm.

Step-by-step explanation:

The displacement of an oscillating particle in simple harmonic motion (SHM) can be represented by the equation y(t) = X cos(2πt/T), where X is the amplitude of the oscillation and T is the period. In this case, the given equation for displacement is y(t) = sin(π/2(t/2+1/3)). To find the distance moved by the particle in one time period, we need to find the maximum displacement. The maximum value of the sine function is 1, so the maximum displacement in this case is 1. Therefore, the distance moved by the particle in one time period is A. 1 cm.