Exams › NEET › Physics

The final velocity of the particle will be zero because it retarded. \( x = 8 + 12t - t^3 \). Find the time when the velocity becomes zero.

1. \( t = 2 \)
2. \( t = 3 \)
3. \( t = 4 \)
4. \( t = 5 \)

Correct answer: \( t = 2 \)

Solution

The velocity is the derivative of displacement with respect to time. Differentiating the given equation, we get: v = dx/dt = 12 - 3t^2. Setting v = 0, we solve 12 - 3t^2 = 0, which gives t = 2 seconds.

Related NEET Physics questions

• In the equation of motion, \( \boldsymbol{S}=\boldsymbol{u} \boldsymbol{t}+ \) \( 1 / 2 a t^{2}, \) S stands for
• A body is accelerated by applying a force of 30 N. The change in the momentum of the body after 2 sec is?
• A passenger in moving train tosses a coin which falls behind him. It means that the motion of the train is
• From the displacement-time graph shown here, find the velocity of the body as it moves from \( A \) to \( B \)
• The distance of a particle as a function of time is shown below. The graph indicates that
• Whenever an object moves with a constant speed, its distance - time graph is a

⚔️ Practice NEET Physics free + battle 1v1 →