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Hailstones falling vertically with a speed of 10 m/s, hit the wind screen (wind screen makes an angle 30° with the horizontal) of a moving car and rebound elastically. The velocity of the car if the driver finds the hailstones rebound vertically after striking is :
  • a)
    10√3 m/s
  • b)
    20√3 m/s
  • c)
    10 m/s
  • d)
    10/√3m/s
Correct answer is option 'A'. Can you explain this answer?
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Hailstones falling vertically with a speed of 10 m/s, hit the wind scr...

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Hailstones falling vertically with a speed of 10 m/s, hit the wind scr...
° with the vertical) of a car moving with a speed of 20 m/s. What is the velocity of the hailstones with respect to the car?

We can break down the velocity of the hailstones into two components: one perpendicular to the windscreen and one parallel to the windscreen. The perpendicular component will not be affected by the motion of the car, but the parallel component will be.

Using trigonometry, we can find that the perpendicular component of the hailstone's velocity is:

10 m/s * cos(30°) = 8.66 m/s

The parallel component of the hailstone's velocity is:

10 m/s * sin(30°) = 5 m/s

Since the car is moving to the right, we can say that the velocity of the car is:

20 m/s to the right

Therefore, the velocity of the hailstones with respect to the car is:

8.66 m/s (perpendicular component) to the left + 5 m/s (parallel component) to the right + 20 m/s (velocity of the car) to the right

= 25.66 m/s to the right
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Hailstones falling vertically with a speed of 10 m/s, hit the wind scr...
For the driver to observe the rain move vertically after the elastic collision rain should come at angle 30 with the horizontal car clear from figure
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Hailstones falling vertically with a speed of 10 m/s, hit the wind screen (wind screen makes an angle 30° with the horizontal) of a moving car and rebound elastically. The velocity of the car if the driver finds the hailstones rebound vertically after striking is :a)10√3 m/sb)20√3m/sc)10 m/sd)10/√3m/sCorrect answer is option 'A'. Can you explain this answer?
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Hailstones falling vertically with a speed of 10 m/s, hit the wind screen (wind screen makes an angle 30° with the horizontal) of a moving car and rebound elastically. The velocity of the car if the driver finds the hailstones rebound vertically after striking is :a)10√3 m/sb)20√3m/sc)10 m/sd)10/√3m/sCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Hailstones falling vertically with a speed of 10 m/s, hit the wind screen (wind screen makes an angle 30° with the horizontal) of a moving car and rebound elastically. The velocity of the car if the driver finds the hailstones rebound vertically after striking is :a)10√3 m/sb)20√3m/sc)10 m/sd)10/√3m/sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hailstones falling vertically with a speed of 10 m/s, hit the wind screen (wind screen makes an angle 30° with the horizontal) of a moving car and rebound elastically. The velocity of the car if the driver finds the hailstones rebound vertically after striking is :a)10√3 m/sb)20√3m/sc)10 m/sd)10/√3m/sCorrect answer is option 'A'. Can you explain this answer?.
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