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

To understand this, we need to recall what the slope of a velocity-time (v–t) graph represents.
Slope of v–t graph = acceleration
Now consider the given condition:
- The velocity-time graph is a straight line inclined to the time axis.
- A straight line means the slope is constant.
So if the slope (i.e., acceleration) is constant, this implies:
\[ \text{Acceleration is uniform (constant)} \]
Let’s analyze the options:
- (A) Uniform velocity: would mean the v–t graph is a horizontal straight line (slope = 0).
- (C) Variable acceleration: would require the v–t graph to be curved.
- (D) Zero acceleration: would again correspond to a horizontal line (zero slope).
Only option (B) correctly matches a straight-line v–t graph with non-zero slope.