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99 Percentile Qs Bank for JEE MainPhysicsMotion in Two Dimensions

The horizontal and vertical displacements x and y of a projectile at a given time t are given by x=6 t metre and y=8 t-5 t^2 metre. The range of the projectile in metre is

Options

  1. A9.6
  2. B10.6
  3. C19.2
  4. D38.4

Correct answer

A. 9.6

Step-by-step solution

aligned & x=(u ) t=6 t & y=(u ) t- 1 2 g t^2=8 t-5 t^2 aligned Therefore, u =8u =6 aligned Range R & = u^2 2 g = u^2 2 g & = 2(u )(u ) g & = 2(8)(6) 10 =9.6 ~m aligned

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