Please give proper reason of each step of your solution with suitable figure 12 The - Physics - Current Electricity

Question

Please give proper reason of each step of your solution with
suitable figure

12 The horizontal range and maximum height
attained by a projectile are R and H respectively If a constant
horizontal acceleration α = g/4 is imparted to the projectile
due to wind, then its horizontal range and maximum height will
be

( a )     R   +   H ,   H 2    
                 
                 
                 
                 
        ( b )     R   +   H
2 ,   2 H ( c )     R   +   2 H ,   H
                 
                 
                 
                 
            ( d )     R
  +   H ,   H

Vipra Mishra · Accepted Answer

Dear Student
In normal projectile time of light t , horizontal range R and
height can be given as'

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5aeaf0c449b46%20png">
With a constant acceleration due to wind in horizontal
direction:

Time of flight remains same and is dependent on vertical component
of velocity Also H remains same as there is no modification in y
direction So H'= H when acceleration due to wind is imparted

Now new range will be

R'=R+12at2R'=vo2sin 2θg+12g42vosinθg2R'= vo2sin 2θg+g84vo2 sin2θg2R'= vo2sin 2θg+12vo2 sin2θgR'= R+H

So correct option is d

Regards