The equation of motion of a particle is given by x = asin (50t + π/3) cm. The particle will come to rest at time t₁ and it will have zero acceleration at time t₂. The t₁ and t₂ respectively are ________. (a) (π)/(300) s, π/75 s (b) π/75 s, (π)/(300) s (c) (π)/(300) s, π/25 s (d) π/50 s, (π)/(100) s

Answer: (a). Rest at the extreme: 50t₁ + π/3 = π/2 ⇒ t₁ = (π/6)/(50) = (π)/(300) s Zero acceleration at x = 0: 50t₂ + π/3 = π ⇒ t₂ = (2π/3)/(50) = π/75 s So the answer is (a).

The equation of motion of a particle is given by x = asin (50t + π/3)… | JEE Main 2026 (2 Apr, Shift 2)

Q15JEE Main 2026 · 2 APR · SHIFT 2Medium

Periodic Motion & SHM Basics

The equation of motion of a particle is given by $x = a\sin(50t + \pi/3)$ cm. The particle will come to rest at time $t_1$ and it will have zero acceleration at time $t_2$ . The $t_1$ and $t_2$ respectively are ________.

Show answer and solution

Answer: (a)

Rest at the extreme: $50t_1 + \frac{\pi}{3} = \frac{\pi}{2} \Rightarrow t_1 = \frac{\pi/6}{50} = \frac{\pi}{300}\text{ s}$
Zero acceleration at $x = 0$ : $50t_2 + \frac{\pi}{3} = \pi \Rightarrow t_2 = \frac{2\pi/3}{50} = \frac{\pi}{75}\text{ s}$
So the answer is (a).

Report a mistake

Periodic Motion & SHM Basics question from JEE Main 2026 (2 Apr, Shift 2)

More questions on Periodic Motion & SHM Basics