Question

How does the speed and magnitude of acceleration change, when a particle performing simple harmonic motion moves from mean position to one of its extreme positions ?

• A. Speed increases, magnitude of acceleration decreases
• B. Speed decreases, magnitude of acceleration increases
• C. Speed increases, magnitude of acceleration increases
• D. Speed decreases, magnitude of acceleration decreases

Answer 1

The correct option is B Speed decreases, magnitude of acceleration increases


As the particle goes from mean position to extreme position, its speed decreases and magnitude of acceleration increases.
$|\overrightarrow{v}|$ is maximum at mean position and zero at extremes.
$|\overrightarrow{a}|$ is maximum at extreme positions and zero at mean position.