A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?

Options

A.
B.
C.
D.

Explanation

To solve the problem of determining the correct velocity vs. time graph for a body thrown vertically upwards, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Motion**:
- When a body is thrown vertically upwards, it starts with an initial velocity (u) greater than zero. As it moves upwards, it decelerates due to the force of gravity acting in the opposite direction.

2. **Velocity at Maximum Height**:
- As the body ascends, its velocity decreases until it reaches the maximum height. At this point, the velocity becomes zero (v = 0).

3. **Velocity After Maximum Height**:
- After reaching the maximum height, the body begins to fall back down. As it falls, its velocity increases in the downward direction, which is considered negative in the context of the velocity vs. time graph.

4. **Graph Characteristics**:
- The graph will start from a positive value (initial velocity), slope downwards to zero (at maximum height), and then continue downward into the negative region (as the body falls back down).

5. **Identifying the Correct Graph**:
- The correct graph will show a straight line that starts from a positive value, decreases linearly to zero, and then continues to decrease into the negative region. This is typically represented as a straight line sloping downwards and then continuing downwards.

### Conclusion:
- The correct graph that represents the velocity vs. time for a body thrown vertically upwards is **Graph B**.