A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s 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 s for every circular lap. The average velocity and average speed for each circular lap respectively is (A) 0 , 0 (B) 0 , 10 ms-1 (C) 10 ms-1 , 10 ms-1 (D) 10 ms-1 , 0

Tardigrade Admin · Accepted Answer

On a circular path in completing one turn, the distance travelled is

2 π r

while displacement is zero.
Hence, average velocity =

\frac{d i s pl a ce m e n t}{t im e - in t er v a l} = \frac{0}{t} = 0

Average speed =

\frac{D i s t an ce}{T im e - in t er v a l}

=

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

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

0 , 0

0 , 10 $m s^{- 1}$

10 $m s^{- 1}$ , 10 $m s^{- 1}$

10 $m s^{- 1}$ , 0

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

0 , 0

0 , 10 ms−1

10 ms−1 , 10 ms−1

10 ms−1 , 0

On a circular path in completing one turn, the distance travelled is 2πr while displacement is zero. Hence, average velocity = time−intervaldisplacement​=t0​=0 Average speed = Time−intervalDistance​ = t2πr​=62.82×3.14×100​=10ms−1

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

0 , 10 $m s^{- 1}$

10 $m s^{- 1}$ , 10 $m s^{- 1}$

10 $m s^{- 1}$ , 0