Q.

An armored car 2m long and 3m wide is moving at 20m/ s . A bullet hits the car in a direction making an angle of tan112with the X-axis as seen from the street. The bullet enters one edge of the corner and passes out at the diagonally opposite corner. Neglecting any interaction between the bullet and the car, find the time taken (in seconds) by the bullet to cross the car.

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answer is 0.2.

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Detailed Solution

Vbullet =V1i^+V2j^ and Vcar =20i^
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tanθ=12=V2V1V1=2V2Vbullet, car =Vbullet Vcar  =V120i^+V2j^
Also, tanα=32=V2V120
 V2=15m/s
 Time taken =Syuy=315=15=0.2s
 

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