A body starting from the rest moves along a straight line with constant acceleration. Which one of the following graph represents the variation of speed (v) and distance (s)?

examrobotsa's picture

Submitted by examrobotsa on

Q: 6 (NDA-I/2008)
A body starting from the rest moves along a straight line with constant acceleration. Which one of the following graph represents the variation of speed (v) and distance (s)?

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,5,21,5,4,12,5

keywords: 

{'graph': [0, 1, 1, 0], 'constant acceleration': [0, 0, 0, 1], 'speed': [0, 1, 2, 0], 'variation': [0, 1, 3, 1], 'straight line': [1, 0, 3, 15], 'distance': [0, 3, 3, 3], 'rest moves': [0, 0, 1, 0], 'iv': [6, 110, 77, 8], 'body': [27, 3, 23, 37]}

Option 1 shows a graph that represents the variation of speed (v) and distance (s) for a body starting from rest and moving along a straight line with constant acceleration.

In this graph, the x-axis represents time, and the y-axis represents both speed (v) and distance (s). The graph starts at time zero, where the speed and distance are both zero. As time progresses, the speed and distance increase at a consistent rate. This indicates that the body has a constant acceleration.

The slope of the line in the graph represents the acceleration of the body. Since the slope is constant, it indicates that the acceleration is constant.

The graph also shows that the speed increases linearly with time, while the distance increases quadratically with time. This is because speed is the rate of change of distance, so if the speed is increasing linearly, the distance will increase quadratically.

In summary, option 1 is the correct graph as it correctly represents the variation of speed (v) and distance (s) for a body starting from rest and moving with constant acceleration.