Question

A graph shows the velocity of an object as a function of time. Describe the motion of the object in detail, including its acceleration and displacement, at different points in time. What does the area under the curve represent?

• A. Acceleration is constant, and displacement is calculated using the area.
• B. Acceleration is variable, and displacement is zero.
• C. The velocity graph gives the displacement and acceleration directly.
• D. The area under the curve gives velocity, while the slope gives displacement.

Hint:

In a velocity-time graph, the area under the curve represents displacement, while the slope of the graph represents acceleration.

Answer 1

The Correct Option is A

In a velocity-time graph, the area under the curve represents the displacement of the object. The slope of the velocity-time graph gives the acceleration. If the graph is a straight line, the acceleration is constant, and displacement can be found by integrating the velocity over time (i.e., finding the area under the graph).