AIPMT PRELIMS2007Physics-Kinematics
AIPMT PRELIMS 2007 Physics Motion in One Dimension MCQ Question
Type: MCQ-numerical-Medium-Class 11
The position x of a particle with respect to time t along x-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?
A
54m
B
81m
C
24m
D
32m
Correct Answer
Option A
Detailed Explanation
The velocity is given by v = dx/dt = 18t - 3t². Setting dv/dt = 0 for maximum speed gives t = 3s. Substituting t = 3s in x = 9t² - t³ gives x = 54m.
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