Adding 2î + 7ĵ and î + ĵ gives ______
a) 3î + 8ĵ
b) î + 35ĵ
c) î + 8ĵ
d) 2î + 7ĵ

Explanation

Mass of man =M,
Initial velocity =O Mass of bag = m
Let the man throws the bag towards left with a velocity v.
So there is no exterN/Al force in the horizontal direction

The momentum will be conserved.
Let the goes right with a velocity
`mv=MV`
rarr V=((mv)/M)`
`rarr v=((MV)/m)`............i
Let the total time he will take to reach grond
`=sqrt((2H)/g)=t_1`
Let the total time he will take to reach the height h
`=t_2=sqrt((2(H-h))/g)`
Then the time of his flying
`=t_1-t_2`
`=((2h)/g-)sqrt((2(H-h))/g)`
`=sqrt(2/g)(sqrtH-sqrt(H-h)` ltbr. with in this time he reaches the ground in the pond covering a horizontal distance
`rarr x=Vxxt `
`rarr V=x/t`
`v=M/m x/t`
`=M/mxxxx sqrtg/(sqrt(2)(sqrtH-sqrt(H-h))x`
As there is no exterN/Al force in horizontal direction the x-corrdiN/Ate of CM will remain at that position.
`rarr 0=(Mxx(x)+mxxx_1)/(M+m)`
`rarr x_1=M/mx`
`:.` The bag will reach the bottom at a distance `(M/m)x` towards left of the line it falls.