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A bus moves from one end A to the other end B of a straight 1000 m road in 100 s and then turns around and moves 500 m back to point C in another 100 s. What will be the average velocity (in m/s) and the type of motion of the bus in going from point A to point C?
0.4 m/s and Non-Uniform Motion
0.4 m/s and Uniform Motion
5 m/s and Non-Uniform Motion
5 m/s and Uniform Motion
5 m/s and Non-Uniform Motion
Average velocity is calculated as total displacement divided by total time. The displacement from point A to C is 500 m (1000 m forward minus 500 m return) over a total time of 200 s, resulting in 2.5 m/s. The motion is non-uniform because the direction of the bus changes during its path, and the speed changes from 10 m/s (1000 m/100 s) to 5 m/s (500 m/100 s).
Average velocity is calculated as total displacement divided by total time. The displacement from point A to C is 500 m (1000 m forward minus 500 m return) over a total time of 200 s, resulting in 2.5 m/s. The motion is non-uniform because the direction of the bus changes during its path, and the speed changes from 10 m/s (1000 m/100 s) to 5 m/s (500 m/100 s).
This problem illustrates the fundamental kinematic principles described in Newton's Laws of Motion, which are foundational to General Science sections in SSC and Railway exams.
Displacement is a vector quantity representing the shortest distance between initial and final positions.
Velocity is the rate of change of displacement, which depends on both speed and direction.
Uniform motion occurs only when an object moves in a straight line with a constant speed.
Total displacement = 1000 m - 500 m = 500 m.
Total time = 100 s + 100 s = 200 s.
Average velocity = 500 / 200 = 2.5 m/s.
Option A and B are incorrect as the velocity calculation yields 2.5 m/s, not 0.4 m/s.
Option D is incorrect because changing speed and direction makes the motion non-uniform.
C is correct тАФ The average velocity is 2.5 m/s and the motion is non-uniform due to the change in velocity magnitude and direction.
In competitive exams, always distinguish between 'speed' (total distance/time) and 'velocity' (total displacement/time). Displacement can be zero for a round trip, whereas distance cannot.
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