ï»¿ Two cars A and B are moving with same speed 30km/hr in same direction with car B 5km behind the car A. Another car C moving in opposite direction crosses the two cars at an interval of 4 minutes. Find the speed of car C. from Physics Motion in A Plane Class 11 Manipur Board

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Two cars A and B are moving with same speed 30km/hr in same direction with car B 5km behind the car A. Another car C moving in opposite direction crosses the two cars at an interval of 4 minutes. Find the speed of car C.

Let the car C be moving with velocity u km/hr.

Car B is 5 km behind the car A, therefore when the car C crosses car A, it is 5 km from car B.

Let us take left direction as positive and right direction as negative.Â

Â

Therefore,

Velocity of car B = -5 km/hr

Velocity of car C = + u km/hr

The relative velocity of car C w.r.t car B is,

Â  Â  Â v = Velocity of car C - Velocity of car

Â  Â  Â  Â  = u - (-5) = (u + 5) km/hr

Now the car C travels 5 km distance with relative velocity (u + 5) km/hr in 4 minutes.

Therefore, using the relation s = ut, we have

Â  Â  Â  Â  Â  Â  Â Â

Â  Â  Â Â

Â  Â  Â  Â , is the speed of car C.Â
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