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AP EAMCET202023 Sep 2020Morning ShiftPhysicsMotion in Two DimensionsActual

Four projectiles are fired with the same velocities at angles 25 ° , 40 ° , 55 ° and 70 ° with the horizontal. The range of projectile will be largest for the one projected at angle _____.

Options

  1. A25 °
  2. B40 °
  3. C55 °
  4. D70 °

Correct answer

B. 40 °

Step-by-step solution

Range of projectile is given by R = u 2 sin 2 θ g Range for projection angle 25 ° is R 1 = u 2 sin 2 × 25 g Range for projection angle 40 ° is R 2 = u 2 sin 2 × 40 g Range for projection angle 55 ° is R 3 = u 2 sin 2 × 55 g Range for projection angle 70 ° is R 4 = u 2 sin 2 × 70 g So range will be maximum for 40 °

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