Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
An athlete runs along a circular track of circumference 400 m and completes 2 full rounds in 80 seconds. What is the average velocity of the athlete?
10 m/s
5 m/s
0 m/s
20 m/s
0 m/s
Average velocity is defined as the total displacement divided by the total time taken. Since the athlete completes exactly 2 full rounds on a circular track, the starting point and the ending point are identical, resulting in a net displacement of zero.
Average velocity is defined as the total displacement divided by the total time taken. Since the athlete completes exactly 2 full rounds on a circular track, the starting point and the ending point are identical, resulting in a net displacement of zero.
If you walk all the way around a block and stop exactly where you started, you have traveled distance, but your net change in position (displacement) is zero, just like an athlete returning to the starting block.
Displacement is 'Distance with Direction'; if you start and end at the same spot, your 'Vector Displacement' is zero.
vavgтАЛ=╬Фt╬ФrтАЛ тАФ definition of average velocity where ╬Фr is displacement
Displacement=0 тАФ for any closed path where final position equals initial position
In physics, displacement is a vector quantity representing the shortest distance between the initial and final positions. When an object returns to its starting point after completing any number of full revolutions, the final position vector coincides with the initial position vector, making the net displacement ╬Фr=0. Consequently, vavgтАЛ=╬Фt╬ФrтАЛ=800тАЛ=0m/s.
Displacement is a vector quantity, while distance is a scalar quantity.
Average velocity is zero whenever an object returns to its initial position.
Speed is calculated using total distance, whereas velocity is calculated using total displacement.
Analyzing circular motion in planetary orbits
Calculating kinematics in sports training
The total distance traveled by the athlete is 2├Ч400m=800m.
Option A (10m/s) represents the average speed, calculated as Total┬аTimeTotal┬аDistanceтАЛ=80800тАЛ=10m/s.
C is correct тАФ Average velocity is zero because the athlete's total displacement is zero after completing two full circular rounds.
Always differentiate between 'speed' and 'velocity' in exam questions; if an object returns to its starting point, velocity is always zero, but speed is not.