Question Detail

PHY 101 Kinematics in One Dimension Objective Question

Question

The displacement of an object during a specific time interval can be determined from its velocity-time graph by calculating the
Options
A slope of the graph.
B area under the graph.
Correct Answer
C intercept of the graph on the time axis.
D inverse of the slope.
Correct Answer

Option B is the correct answer.

Detailed Explanation

The area under a velocity-time graph, between the curve and the time axis, represents the integral of velocity with respect to time (∫ v dt). Since velocity is the rate of change of displacement, this integral equals the displacement of the object over that time interval.

Hint

Consider that velocity × time gives a quantity with units of distance. On a graph, 'product' is represented by 'area'.

Question Info