A car is moving along a straight line say $O P$ in the figure. It moves from $O$ to $P$ in $18 s e c$ and returns from $P$ and $Q$ in $6 s e c$ . What are average velocity of the car in going from
(a) $O$ to $P$ ? (b) from $O$ to $P$ and back to $Q$ ?

10 m s^{- 1}, 20 m s^{- 1}

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

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

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20 m s^{- 1}, 20 m s^{- 1}

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Solution

The correct option is A $10 m s^{- 1}, 20 m s^{- 1}$
$(a)$
Displacement from $O t o P = 360 m$

Time taken from $O t o P = 18 s e c$

Velocity of car $= \frac{D i s p l a c e m e n t}{T i m e}$

$= \frac{360 m}{18}$

Avg. Velocity of car $(O t o P) = 20 m s^{- 1}$

Time taken from $P t o Q = 6 s e c$

Total time taken to move from O to P and back at Q,

$T^{'} = 16 + 6 = 24$

Displacement from $P t o Q = 240 m$

Average speed of car from $P t o Q = \frac{240 m}{24 sec}$

$= 10 m s^{- 1}$

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A car is moving along a straight line say OP in the figure. It moves from O to P in 18 sec and returns from P and Q in 6 sec. What are average velocity of the car in going from (a) O to P? (b) from O to P and back to Q?

A car is moving along a straight line say $O P$ in the figure. It moves from $O$ to $P$ in $18 s e c$ and returns from $P$ and $Q$ in $6 s e c$ . What are average velocity of the car in going from
(a) $O$ to $P$ ? (b) from $O$ to $P$ and back to $Q$ ?