Question Detail

PHY 101 Kinematics in One Dimension Objective Question
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Question

The graph below shows the velocity-time graph for a train. What does the area under the graph represent? [Description: A v-t graph showing a horizontal line at v=10 m/s from t=0 to t=10 s.]
Options
A The acceleration of the train.
B The distance traveled by the train between 0 and 10 s.
Correct Answer
C The change in velocity of the train.
D The instantaneous speed of the train at t=5 s.
Correct Answer

Option B is the correct answer.

Detailed Explanation

The area under a velocity-time graph represents the integral of velocity with respect to time, which is the displacement. For motion in a straight line without change in direction, this displacement is equal to the distance traveled. The area of the rectangle (10 m/s * 10 s) is 100 m, which is the distance traveled.

Hint

Consider the units of the area: (m/s) * s = m. What kinematic quantity has units of meters?

Question Info

Course: PHY 101
Topic: Kinematics in One Dimension
Type: Objective
Difficulty: Not specified
Question 613 of 1250
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