Q103 / 125 · BITSAT 2017 · Physics

The horizontal range and maximum height attained by a projectile are R and H respectively. If a constant horizontal acceleration a=g4 is imparted to the projectile due to wind, then its horizontal range and maximum height will be 

  • A
    R+H,H2
  • B
    R+H2,2H
  • C
    R+2H,H
  • Correct answer
    D
    R+H,H

Solution

T=2Uyg

H=Uy22g

Here maximum height will be same as H because there is no acceleration change in vertical direction.

and R=Ux×T

When a horizontal acceleration is also given to the projectile Uy,T and H will remain unchanged while range will become

R'=Ux×T+12aT2

=R+12g44Uy2g2=R+H  ∵a=g4

Therefore horizontal range & maximum height will be R+H & H.

Hence, the correct answer is option: 'D'.

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