On a long horizontally moving belt, a child runs to and fro with a speed 9 km $h^{- 1}$ (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of 4 km $h^{- 1}$ . For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is

4 km

h - 1

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5 km

h - 1

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9 km

h - 1

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13 km

h - 1

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Solution

The correct option is D 13 km $h - 1$

$V_{1} \to$ Velocity of child wrt ground
$V_{2} \to$ Velocity of belt wrt ground
$V_{c h i l d / b e l t} = 9 V_{b e l t / g} = 4$

$V_{c h i l d / b e l t} = V_{c h i l d / g o} - V_{b e l t / g}$
$9 = V_{1} - 4$
$\Rightarrow V_{1} = 13 k m / h r$ [both are in same direction].

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Similar questions

Q. On a long horizontally moving belt (Fig.), a child runs to and fro with a speed

9 k m h^{- 1}

(with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of

4 k m h^{- 1}

. For an observer on a stationary platform outside, what is the

(a) speed of the child running in the direction of motion of the belt ?

(b) speed of the child running opposite to the direction of motion of the belt ?

On a long horizontally moving belt (Fig. 3.26), a child runs to and fro with a speed 9 km h^–1 (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of 4 km h^–1. For an observer on a stationary platform outside, what is the

(a) speed of the child running in the direction of motion of the belt ?.

(b) speed of the child running opposite to the direction of motion of the belt ?

Which of the answers alter if motion is viewed by one of the parents?

(Fig: 3.26)

Observe the given distance-time graph

Identify the respective speeds of the body when it moves from O (Origin) to A and B to C.

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Identify the respective speeds of the body when it moves from O to A and B to C.

A child walks towards a fixed plane mirror at a speed of 5 km $h^{- 1}$ . The velocity of the image with respect to the mirror is -

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The correct option is D 13 km h−1V1→ Velocity of child wrt groundV2→ Velocity of belt wrt groundVchild/belt=9Vbelt/g=4Vchild/belt=Vchild/go−Vbelt/g 9=V1−4⇒V1=13km/hr [both are in same direction].