(A) Given,speed of the first car $v_1 = 18\,km/h$.Speed of the second car $v_2 = 27\,km/h$.Since the cars are moving towards each other,their relative

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(A) Given,speed of the first car $v_1 = 18\,km/h$.Speed of the second car $v_2 = 27\,km/h$.Since the cars are moving towards each other,their relative speed is $v_{rel} = v_1 + v_2 = 18 + 27 = 45\,km/h$.The initial distance between the cars is $d = 36\,km$.The time taken for the cars to meet is $t = \frac{d}{v_{rel}} = \frac{36}{45} = 0.8\,h$.The bird flies continuously at a constant speed $v_b = 36\,km/h$ until the cars meet.Therefore,the total distance covered by the bird is $D = v_b \times t = 36 \times 0.8 = 28.8\,km$.

Class 11 Physics 3-2.Motion in Plane Relative Velocity (river boat, rain, wind)

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$A$ bird is flying to and fro between two cars moving towards each other on a straight road. One car has a speed of $18\,km/h$ while the other has a speed of $27\,km/h$. The bird starts moving from the first car towards the other with a speed of $36\,km/h$. If the two cars were initially separated by $36\,km$,what is the total distance covered by the bird?

A
$28.8$
B
$36.4$
C
$58.2$
D
None of these

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3-2.Motion in Plane

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Relative Velocity (river boat, rain, wind)

$A$ boy throws a ball in the air at $60^{\circ}$ to the horizontal,along a road with a speed of $10 \, m/s$. Another boy sitting in a passing car observes the ball. Sketch the motion of the ball as observed by the boy in the car,if the car has a speed of $18 \, km/h$. Give an explanation to support your diagram.

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Two parallel rail tracks run north-south. Train $A$ moves north with a speed of $54 \; km \; h^{-1},$ and train $B$ moves south with a speed of $90 \; km \; h^{-1}.$ What is the velocity of $B$ with respect to $A$?

Medium

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$A$ man is crossing a river flowing with a velocity of $5 \ m/s$. He reaches a point directly across at a distance of $60 \ m$ in $5 \ s$. His velocity in still water should be: (in $m/s$)

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$A$ train is moving slowly on a straight track with a constant speed of $2 \,ms^{-1}$. $A$ passenger in that train starts walking at a steady speed of $2 \,ms^{-1}$ to the back of the train in the opposite direction of the motion of the train. To an observer standing on the platform directly in front of that passenger, the velocity of the passenger appears to be:

DifficultKCET 2010

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$A$ person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of $0.5\, m/s$ at an angle of $120^\circ$ with the direction of flow of water. The speed of water in the stream is..........$m/s$.

MediumAIPMT 1999

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Two parallel rail tracks run north-south. Train $A$ moves north with a speed of $54 \; km \; h^{-1},$ and train $B$ moves south with a speed of $90 \; km \; h^{-1}.$ What is the velocity of $B$ with respect to $A$?

$A$ man is crossing a river flowing with a velocity of $5 \ m/s$. He reaches a point directly across at a distance of $60 \ m$ in $5 \ s$. His velocity in still water should be: (in $m/s$)

$A$ person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of $0.5\, m/s$ at an angle of $120^\circ$ with the direction of flow of water. The speed of water in the stream is..........$m/s$.

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