Question

The displacement, velocity and acceleration in a simple harmonic motion are related as the

• A. displacement, velocity and acceleration all act in the same direction
• B. displacement and velocity act in the same direction but acceleration in the opposite direction
• C. Velocity and acceleration are parallel and both are perpendicular to the displacement
• D. displacement and acceleration are antiparallel and both perpendicular to the velocity

Answer 1

Answer: (B)

displacement and velocity act in the same direction but acceleration in the opposite direction

Answer 2

For SHM $\alpha =-\omega^{2}y$
where a is acceleration, $co$ is angular velocity, $y$ is displacement. Hence, it is clear that acceleration is directly proportional to displacement and is always opposite to displacement.