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Question

A particle is projected from a point (1,1) aiming towards a point (5,9). It fell on ground along x axis after 1sec. If it falls on x-axis then the x-co-ordinate of that point is (g=10m/s2)
1025012_fe156d5b62374b039b7b1f12a3a5ec09.png

A
1
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B
2
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C
3
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D
4
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Solution

The correct options are
A 1
D 4
Slope=tanθ=9151=2
sinθ=25
cosθ=15
It reaches (x,0)
Distance travelled vertically is 1 and horizontally is x-1
Using s=ut+12at2
Along vertical path 1=vsinθ×112g×12
v=35
Along horizontal path x1=vcosθ×1
x=4


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