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Motion in A Straight Line question

2017 · 8 Apr · Shift 1 · Q69

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Physics
Motion in A Straight Line
2017 · 8 Apr · Shift 1 · Q69

Motion in A Straight Line question

2017 · 8 Apr · Shift 1 · Q69

JEE MainPhysicsMotion in A Straight LineMCQ+4 / −1

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?

A
B
C
D

View written solutionFree

Correct answer: C

Interpret the physical condition

We need a graph for motion with:

constant negative acceleration
positive velocity

What does constant negative acceleration mean?

Acceleration is the rate of change of velocity: $a = \frac{dv}{dt}$

If acceleration is constant and negative, then velocity must decrease linearly with time.

So the correct velocity-time graph should be:

a straight line
with negative slope
lying above the time axis if velocity remains positive

What does positive velocity mean?

Positive velocity means: $v > 0$ So on a velocity-time graph, the line should be above the time axis.

Hence the required graph

The graph must show:

velocity positive
velocity decreasing uniformly with time
therefore a straight line sloping downward, but still in the positive region

Matching with options

Among the given choices, this corresponds to Option C.

Comparison with stored answer

Stored correct answer: C

This matches our derived answer.

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