two particles Aand B are projected simultaneously at angles 45 and 60 degree respectively with horizontal. If both of them attain same height . Find the ratio of their initial velocities Va/Vb us (a) root 5/2 (b) root 3/2 (c) root 7/2 (d) root 5/3
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Answer:
For collision there x and y co-ordinate should be same.
y=v
A
sinθt−
2
1
gt
2
=v
B
t−
2
1
gt
2
at t=
2
1
⟹v
A
sinθ=v
B
⟹sinθ=
v
A
v
B
=
20
10
=
2
1
⟹θ=30
o
x
A
=x
B
⟹x=v
A
cosθt=20×
2
3
×
2
1
⟹x=5
3
s
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