Exams › NEET › Physics

The position x of a particle with respect to time t along y-axis is given by x = 9t² − t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction?

1. 54m
2. 81m
3. 24m
4. 32m

Correct answer: 54m

Solution

To find the maximum speed, we calculate the velocity v = dx/dt = 18t - 3t². Setting dv/dt = 0 for maximum, we get 18 - 6t = 0, which gives t = 3s. Substituting t = 3s into x = 9t² - t³, we get x = 9(3)² - (3)³ = 81 - 27 = 54m.

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 →