Question

If the velocity–time graph of a body is a straight line inclined to the time axis, the motion has:

• A. Uniform velocity
• B. Uniform acceleration
• C. Variable acceleration
• D. Zero acceleration

Hint:

In a velocity-time graph:
- Slope = acceleration
- Straight line with constant slope = uniform acceleration
- Curved line = variable acceleration
- Horizontal line = zero acceleration (uniform velocity)

Answer 1

The Correct Option is B

The slope of a velocity-time (v–t) graph signifies acceleration.
Slope of v–t graph = acceleration
Given the condition that the v–t graph is a straight line inclined to the time axis, this implies a constant slope. Consequently, the acceleration is uniform (constant):
\[ \text{Acceleration is uniform (constant)} \]
Analyzing the options:
- (A) Uniform velocity corresponds to a horizontal v–t line (zero slope).
- (C) Variable acceleration necessitates a curved v–t graph.
- (D) Zero acceleration is represented by a horizontal line (zero slope).
Option (B) is the sole correct match for a straight-line v–t graph with a non-zero slope.