Question

Slope of a velocity time graph gives

• A. Distance travelled
• B. Velocity
• C. Acceleration
• D. Displacement

Answer 1

The correct option is C

Acceleration

Explanation for the correct option:

1. In a velocity-time graph, time is plotted on the $x$-axis and velocity is plotted on the $y$-axis.
2. We know that the slope of a graph is given by, $\mathrm{slope}=\frac{∆\mathrm{y}}{∆\mathrm{x}}$
3. Thus, in a velocity-time graph, the slope would be $\mathrm{slope}=\frac{∆v}{∆t}$ where $∆v$ is the change in velocity and $∆t$ is the change in time.
4. We know that $\mathrm{acceleration}=\frac{\mathrm{change}\mathrm{in}\mathrm{velocity}}{\mathrm{change}\mathrm{in}\mathrm{time}}=\frac{∆v}{∆t}$, which is the slope of a velocity-time graph.
5. Therefore, the slope of a velocity-time graph gives acceleration.

Hence, option C is correct.