The velocity -time graph for a body with non-uniform motion is a

Options

A. straight line
B. straight line parallel to x-axis
C. straight line parallel to y-axis
D. curved line

Answer

To determine the type of velocity-time graph for a body in non-uniform motion, we can follow these steps:

### Step 1: Understand Non-Uniform Motion
Non-uniform motion refers to the motion of an object where it does not cover equal distances in equal intervals of time. This means that the object's velocity is changing over time.

**Hint:** Remember that in non-uniform motion, the speed or direction of the object changes, leading to varying velocities.

### Step 2: Analyze the Velocity-Time Graph
In a velocity-time graph, the x-axis represents time, and the y-axis represents velocity. For non-uniform motion, the graph will not be a straight line. Instead, it will show a curve or a line that changes direction.

**Hint:** Think about how a straight line indicates constant velocity, while a curve indicates changing velocity.

### Step 3: Identify Characteristics of the Graph
- If the graph is a straight line, it indicates uniform motion (constant velocity).
- If the graph is curved, it indicates non-uniform motion (changing velocity).

**Hint:** A curve can either be increasing or decreasing, showing acceleration or deceleration respectively.

### Step 4: Conclusion
Therefore, the velocity-time graph for a body with non-uniform motion is a curve. This curve can take various shapes depending on how the velocity changes over time.

**Hint:** Visualize how the graph would look if the object speeds up or slows down at different rates.

### Final Answer
The velocity-time graph for a body with non-uniform motion is a curve.