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AP EAMCET2006PhysicsMotion in Two Dimensions

A body is projected from the earth at angle 30^ with the horizontal with some initial velocity. If its range is 20 ~m , the maximum height reached by it is : (in metres)

Options

  1. A5 3
  2. B5 3
  3. C10 3
  4. D10 3

Correct answer

B. 5 3

Step-by-step solution

R= u^2 2 g 20= u^2 (2 30^ ) g u^2 g = 20 60^ = 20 3 2= 40 3 Now, H= u^2 ^2 2 g = 40 3 ^2 30^ 2 = 40 3 ( 1 2 )^2 2 = 5 3 ~m

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