An insect moves along the sides of a wall of dimensions 12 m $\times$ 5 m starting from one corner and reaches the diagonally opposite corner. If the insect takes 2 s for its motion then find the ratio of average speed to average velocity of insect.

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Solution

Distance travelled $(12 + 5) m = 17 m$
Displacement $= (\sqrt{12^{2} + 5^{2}}) m = 13 m$
$= \frac{A v e r a g e s p e e d}{A v e r a g e v e l o c i t y} = \frac{D i s t a n c e}{D i s p l a c e m e n t}$
(for given time)
$= \frac{17}{13}$

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Similar questions

Q. An insect moves along the sides of a wall of dimension

12 m \times 5 m

, starting from one corner and reaches the diagonally opposite corner. If the insect takes

2 s

for its motion, then find the ratio of average speed to average velocity of insect.

An insect moves along the sides of a wall of dimensions 12 m $\times$ 5 m starting from one corner and reaches the diagonally opposite corner. If the insect takes 2 s for its motion, then find the ratio of average speed to the average velocity of insect.

Q. An insect moves along the sides of a wall of dimensions

12 m \times 5 m

starting from one corner and reaches the diagonally opposite corner in 2 s. Find the ratio of the average speed to the average velocity of the insect.

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An insect moves along the sides of a wall of dimensions 12 m × 5 m starting from one corner and reaches the diagonally opposite corner. If the insect takes 2 s for its motion then find the ratio of average speed to average velocity of insect.

Distance travelled (12+5)m=17mDisplacement =(√122+52)m=13m=AveragespeedAveragevelocity=DistanceDisplacement (for given time)=1713

An insect moves along the sides of a wall of dimensions 12 m $\times$ 5 m starting from one corner and reaches the diagonally opposite corner. If the insect takes 2 s for its motion then find the ratio of average speed to average velocity of insect.

Distance travelled $(12 + 5) m = 17 m$
Displacement $= (\sqrt{12^{2} + 5^{2}}) m = 13 m$
$= \frac{A v e r a g e s p e e d}{A v e r a g e v e l o c i t y} = \frac{D i s t a n c e}{D i s p l a c e m e n t}$
(for given time)
$= \frac{17}{13}$