Physics-Speed & Velocity
NEET Physics Speed & Velocity MCQ Question
Type: MCQ-numerical-Easy-Class 11
A particle moves along a straight line with its position x given by x(t) = 3t^2 + 2t + 1. What is the instantaneous velocity of the particle at t = 2 seconds?
A
14 m/s
B
12 m/s
C
10 m/s
D
8 m/s
Correct Answer
Option A
Detailed Explanation
Instantaneous velocity is the derivative of position with respect to time. Differentiating x(t) = 3t^2 + 2t + 1 gives v(t) = 6t + 2. At t = 2 seconds, v(2) = 6(2) + 2 = 14 m/s.
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