AIPMT PRELIMS2012Physics-Kinematics
AIPMT PRELIMS 2012 Physics Motion in One Dimension MCQ Question
Type: MCQ-numerical-Medium-Class 11
The motion of a particle along a straight line is described by equation: x = 8 + 12t - t³ where x is in metre and t in second. The retardation of the particle when its velocity becomes zero, is
A
12 ms⁻²
B
24 ms⁻²
C
zero
D
6 ms⁻²
Correct Answer
Option A
Detailed Explanation
Velocity v = dx/dt = 12 - 3t². Setting v = 0 gives t = 2 sec. Retardation a = d²x/dt² = -6t, so at t = 2, a = 12 ms⁻².
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