A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

Question

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is (A) 10 m/s, 0 (B) 0, 0 (C) 0,10 m/s (D) 10 m/s, 10 m/s

Tardigrade Admin · Accepted Answer

Distance travelled in one rotation (lap)

= 2 π r

∴

Average speed

= \frac{distance}{time} = \frac{2 π r}{t}

= \frac{2 \times 3.14 \times 100}{62.8} = 10 m s^{- 1}

Net displacement in one lap

= 0

Average velocity

= \frac{net displacement}{time} = \frac{0}{t} = 0

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Q. A car runs at a constant speed on a circular track of radius 100m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

10 m/s, 0

0, 0

0,10 m/s

10 m/s, 10 m/s

Distance travelled in one rotation (lap) =2πr ∴ Average speed = time distance ​=t2πr​ =62.82×3.14×100​=10ms−1 Net displacement in one lap =0 Average velocity = time net displacement ​=t0​=0.

Q. A car runs at a constant speed on a circular track of radius $100 m$ , taking $62.8$ seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

Distance travelled in one rotation (lap) $= 2 π r$
$∴$ Average speed $= \frac{distance}{time} = \frac{2 π r}{t}$
$= \frac{2 \times 3.14 \times 100}{62.8} = 10 m s^{- 1}$
Net displacement in one lap $= 0$
Average velocity $= \frac{net displacement}{time} = \frac{0}{t} = 0$ .