Which one of the following characteristics of the particle does the shaded area of the velocity-time graph shown below represent?

examrobotsa's picture
Q: 96 (NDA-II/2010)

Which one of the following characteristics of the particle does the shaded area of the velocity-time graph shown below represent?

question_subject: 

Science

question_exam: 

NDA-II

stats: 

0,3,8,3,4,3,1

keywords: 

{'time graph': [0, 1, 2, 2], 'velocity': [0, 2, 2, 6], 'particle': [0, 2, 8, 30], 'momentum': [0, 1, 0, 3], 'acceleration': [0, 0, 2, 8], 'shaded area': [0, 0, 1, 0], 'speed': [0, 1, 2, 0], 'characteristics': [0, 0, 0, 1]}

The shaded area of a velocity-time graph represents the distance covered by the particle. In velocity-time graph, the x-axis represents time and the y-axis represents velocity. The area under the graph between two time points represents the distance traveled during that time interval.

Option 1: Momentum is not represented by the shaded area of the velocity-time graph. Momentum of a particle is calculated by multiplying its mass and velocity, which is not directly related to the area under the graph.

Option 2: Acceleration is also not represented by the shaded area of the velocity-time graph. Acceleration is the rate of change of velocity with respect to time and is not directly related to the area under the graph.

Option 3: The correct answer. The shaded area represents the distance covered by the particle. It gives an indication of the total distance traveled by the particle over a certain time period.

Option 4: Speed, which is the magnitude of velocity, is not directly represented by the shaded area of the velocity-time graph. The graph shows the changes in velocity, but not the magnitude of velocity itself.