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Q.

At the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed time graphs for motor bike and car are represented by OAB & CD respectively. Then

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a

at t=18s the motor bike and car are 180m apart.

b

at t=18s the motor bike and car are 720m apart.

c

the relative distance between motor bike and car reduce to zero at t =27 s and both are 1080m far from origin

d

the relative distance between motor bike and car always remains same.

answer is A, C.

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Detailed Solution

Distance travelled by motor bike at t= 18 s

Sbike=S1=121860=540m

Distance travelled by car at t=18 s

Scar=S2=1840=720 m

Therefore, seperation between them at t=18s is 180m. Let seperation between them decreases to zero at time t beyond 18s.

Hence Sbike=540+60t & Scar=720+40t

Scar-Sbike=0720+40t=540+60t

t=18+9s=27s from start and distance travelled by both is Sbike=Scar=1080 m

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At the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed time graphs for motor bike and car are represented by OAB & CD respectively. Then