JEE Physics 2025 Question with Solution

Given: A displacement-time graph is provided.

Find: Which listed combination of statements is correct.

Use these ideas:

• Average velocity is total displacement divided by total time.
• Instantaneous velocity is the slope of the displacement-time graph at that instant.

Check each statement from the graph.

For 0 to 3 s:

So statement (A) is false, because it is not $10 \, \text{m/s}$.

For 3 to 5 s:

So statement (B) is true.

At $t = 2 \, \text{s}$ the point lies on a straight segment, so instantaneous velocity equals the slope of that segment:

So statement (C) is true.

For 5 to 7 s:

At $t = 6.5 \, \text{s}$, the graph is on the same straight descending segment, whose slope is also

So statement (D) is true.

From 0 to 9 s the graph begins and ends at the same displacement, so total displacement is zero:

So statement (E) is true.

Therefore the true statements are (B), (C), (D), (E) according to the extracted working, but among the given options the solution declares the correct option as D and concludes with statement (D) as the selected answer. Hence, the correct option is D.

Given: A piecewise linear displacement-time graph.

Find: The correct choice among the four combinations.

The graph must be read using slope for velocity.

• Horizontal segment $\Rightarrow$ velocity is $0$.
• Rising straight line $\Rightarrow$ positive constant velocity.
• Falling straight line $\Rightarrow$ negative constant velocity.

Now evaluate the listed statements:

1. (A) says average velocity from $0$ to $3 \, \text{s}$ is $10 \, \text{m/s}$. From the graph, displacement changes by $10 \, \text{m}$ in $3 \, \text{s}$.

Hence false.

2. (B) says average velocity from $3$ to $5 \, \text{s}$ is $0 \, \text{m/s}$. Displacement is unchanged, so true.

3. (C) says instantaneous velocity at $t = 2 \, \text{s}$ is $5 \, \text{m/s}$. This lies on a straight segment of slope $5 \, \text{m/s}$, so true.

4. (D) compares average velocity from $5$ to $7 \, \text{s}$ with instantaneous velocity at $t = 6.5 \, \text{s}$. Both come from the same descending straight segment, so both are equal to $-5 \, \text{m/s}$. Hence true.

5. (E) says average velocity from $0$ to $9 \, \text{s}$ is zero. Initial and final displacements are the same, so true.

This creates a discrepancy because the true set appears larger than any clean single statement option, while the provided the solution explicitly marks option D as correct. Therefore, the extracted final answer is D.