A ball thrown vertically upwards with an initial velocity of `1.4 m//s.` The total displcement of the ball is

Options

A. `22.4cm`
B. zero
C. `44.8m`
D. `33.6m`

Answer

To solve the problem of finding the total displacement of a ball thrown vertically upwards with an initial velocity of 1.4 m/s, we can follow these steps:

### Step 1: Understand the motion of the ball
When the ball is thrown upwards, it will rise to a maximum height and then fall back down to the original position from where it was thrown.

### Step 2: Calculate the maximum height reached by the ball
To find the maximum height (h) reached by the ball, we can use the formula:
\[ h = \frac{u^2}{2g} \]
where:
- \( u = 1.4 \, \text{m/s} \) (initial velocity)
- \( g = 9.8 \, \text{m/s}^2 \) (acceleration due to gravity)

Plugging in the values:
\[ h = \frac{(1.4)^2}{2 \times 9.8} \]
\[ h = \frac{1.96}{19.6} \approx 0.1 \, \text{m} \]

### Step 3: Analyze the total displacement
Displacement is defined as the change in position from the initial point to the final point. In this case, the ball starts at a certain height (ground level) and returns to the same height after reaching the maximum height and falling back down.

Since the ball returns to its original position, the total displacement is:
\[ \text{Total Displacement} = \text{Final Position} - \text{Initial Position} = 0 \, \text{m} - 0 \, \text{m} = 0 \, \text{m} \]

### Conclusion
The total displacement of the ball is **0 meters**.

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