Physics-Distance & Displacement

NEET Physics Distance & Displacement MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Consider a velocity-time graph for an object moving with uniform acceleration. If the area under the curve from time t=0 to t=T represents the displacement of the object, what can be inferred about the relationship between the initial velocity v0, final velocity v, and the displacement x?

Question diagram
A

The displacement x is equal to the area of a triangle formed by v0, v, and T.

B

The displacement x is equal to the area of a rectangle formed by v0 and T.

C

The displacement x is equal to the arithmetic average of v0 and v multiplied by time T.

D

The displacement x is solely determined by the final velocity v and time T.

Correct Answer

Option C

Detailed Explanation

The displacement x is given by the area under the velocity-time graph, which is the sum of the areas of a triangle and a rectangle. This can be expressed as the arithmetic average of the initial and final velocities multiplied by the time interval, as per the NCERT context.

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