Physics-Speed & Velocity
NEET Physics Speed & Velocity Assertion Reason Question
Type: Assertion Reason-assertion-Medium-Class 11
Assertion (A): The stopping distance of a vehicle is proportional to the square of its initial velocity. | Reason (R): Doubling the initial velocity of a vehicle increases its stopping distance by a factor of 4, assuming constant deceleration.
A
Both A and R are true, and R is the correct explanation of A.
B
Both A and R are true, but R is not the correct explanation of A.
C
A is true, but R is false.
D
A is false.
Correct Answer
Option A
Detailed Explanation
From the NCERT context, the stopping distance d is given by d = v^2 / (2a), showing that it is proportional to the square of initial velocity (v^2). Thus, doubling the initial velocity results in a stopping distance four times greater, confirming both A and R.
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