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NEET PHYSICSEasy

A car turns at a constant speed on a circular track of radius 100 m100 \text{ m}, taking 62.8 s62.8 \text{ s} for every circular lap. The average velocity and average speed for each circular lap, respectively, is:

A

0, 0

B

0, 10 m/s

C

10 m/s, 10 m/s

D

10 m/s, 0

Step-by-Step Solution

  1. Average Velocity: Average velocity is defined as the ratio of total displacement to the total time interval (vavg=Δx/Δtv_{avg} = \Delta x / \Delta t) . For one complete circular lap, the car returns to its initial position. Therefore, the net displacement Δx\Delta x is zero. Consequently, the average velocity is zero.
  2. Average Speed: Average speed is defined as the ratio of the total path length to the total time interval . The path length for one lap is the circumference of the circle, 2πR2\pi R.
  3. Calculation:
  • Radius R=100 mR = 100 \text{ m}.
  • Time t=62.8 st = 62.8 \text{ s}.
  • Path Length = 2πR=2×3.14×100=628 m2\pi R = 2 \times 3.14 \times 100 = 628 \text{ m}.
  • Average Speed = 62862.8=10 m/s\frac{628}{62.8} = 10 \text{ m/s}.
  1. Conclusion: The average velocity is 0 and the average speed is 10 m/s10 \text{ m/s}.
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