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AP EAMCET20226 Jul 2022Morning ShiftPhysicsMotion in Two DimensionsActual

The equation for the trajectory of a projectile is y= ( x 3 - x^2 60 ) m . The velocity of projection of the projectile is (Acceleration due to gravity =10 ~ms ⁻² )

Options

  1. A8 ~ms ⁻¹
  2. B40 ~ms ⁻¹
  3. C16 ~ms ⁻¹
  4. D20 ~ms ⁻¹

Correct answer

D. 20 ~ms ⁻¹

Step-by-step solution

Coefficient of x^2 in equation of trajectory = g 2 u ^2 ^2 So, g 2 u ^2 ^2 = 1 60 10 2 u ^2 ^2 = 1 60 u ^2 ^2 =300 Coefficient of x in equation of trajectory is So, = 1 3 =30^ As u^2 ^2 =300 u ^2 ( 3 4 )=300 u ^2=400 u =20 ~m / s

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