Question

A particle executes SHM with a time period of 10 secs. At what times will the velocity of the particle be maximum, if at t = 0, the particle starts from x = -A

• A. (0, 5)
• B. (0, 10)
• C. (5, 10)
• D. (2.5, 7.5)

Answer 1

The correct option is D (2.5, 7.5)

The particle will have its maximum speed at the mean position.
The time taken to reach other extreme from its starting point (first extreme x = -A) will be T/2 = 5 secs.
Thus, the particle will be at the mean position at 2.5 s on its onwards journey and again at 7.5 s in its return journey. At these positions, the speed is maximum
The option (d) is the correct option