MarksRiser
MarksRiser
AIIMS2018Physics-Kinematics

AIIMS 2018 Physics Equations of Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

The motion of a particle along a straight line is described by equation: x=8+12t−t3x = 8 + 12t - t^3 where xx is in metre and tt in second. The retardation of the particle when its velocity becomes zero, is:

A

24 ms−224\text{ ms}^{-2}

B

zero

C

6 ms−26\text{ ms}^{-2}

D

12 ms−212\text{ ms}^{-2}

Correct Answer

Option D

Detailed Explanation

The calculation shows that at t=2t = 2 seconds, the velocity vv becomes zero, indicating that the object has come to a stop. The acceleration at this moment is a=−12 m/s2a = -12 \, \text{m/s}^2, which signifies that the object is experiencing retardation (deceleration) as it slows down. Since the problem explicitly states that the retardation is 12 m/s212 \, \text{m/s}^2, option D correctly reflects this value. Other options are not applicable as they do not provide relevant information or values related to the problem.

Found an issue with this question?