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Q.

The windscreens of two motorcars are having slopes  30°  and  15°  respectively. At what ratio v1/v2   of the velocities of cars will their drivers see the hailstones bounced by windscreen of their cars in the vertical direction? Assume hailstones are falling vertically.

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answer is 3.

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Detailed Solution

α+2β=π/2  and  tanga=VV1
 tanα=tan(π22β1)=cot2β1    VV1=cot2β1
 
For other equation  VV2=cot2β2    V1V2=cot30°cot60°


 V1V2=31
 
 

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The windscreens of two motorcars are having slopes  30°  and  15°  respectively. At what ratio v1/v2   of the velocities of cars will their drivers see the hailstones bounced by windscreen of their cars in the vertical direction? Assume hailstones are falling vertically.