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A ball is thrown from a point O aiming a target at angle 30 degree with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the initial velocity of the ball is 20m/s^2 and the horizontal distance between O and C is 10m.Find the value of h.?
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A ball is thrown from a point O aiming a target at angle 30 degree wit...
Problem: Finding the value of h when a ball is thrown from point O at an angle of 30 degrees with the horizontal and hits the target at point B, but instead hits at point A, a vertical distance h below B. The initial velocity of the ball is 20m/s^2 and the horizontal distance between O and C is 10m.



Solution:

  • First, we need to find the horizontal and vertical components of the initial velocity of the ball.

  • Using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken, we can find the time taken for the ball to reach point A.

  • Since the vertical component of the initial velocity is given by u*sin(30), we can use the formula s = ut + 1/2at^2, where s is the vertical distance covered, to find the time taken.

  • Using the time taken, we can then find the horizontal distance covered by the ball using the formula s = ut + 1/2at^2, where s is the horizontal distance covered.

  • Finally, we can find the value of h by subtracting the vertical distance covered by the ball at point C (which is given by h + 10*tan(30)) from the vertical distance covered by the ball at point B (which is given by 10*tan(30)).


Answer: The value of h is h = 10 - 10*sqrt(3) ≈ -1.16m.
Community Answer
A ball is thrown from a point O aiming a target at angle 30 degree wit...
Is h = 10m
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A ball is thrown from a point O aiming a target at angle 30 degree with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the initial velocity of the ball is 20m/s^2 and the horizontal distance between O and C is 10m.Find the value of h.?
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A ball is thrown from a point O aiming a target at angle 30 degree with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the initial velocity of the ball is 20m/s^2 and the horizontal distance between O and C is 10m.Find the value of h.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is thrown from a point O aiming a target at angle 30 degree with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the initial velocity of the ball is 20m/s^2 and the horizontal distance between O and C is 10m.Find the value of h.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown from a point O aiming a target at angle 30 degree with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the initial velocity of the ball is 20m/s^2 and the horizontal distance between O and C is 10m.Find the value of h.?.
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