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Q.

The equation of motion of a projectile is y=axbx2, where a and b are constants of motion. Match the quantities of column I with the relations of column II.

 List - I List - II
A.The initial velocity of projectionp.a/b
B.The horizontal range of projectileq.a2bg
C.The maximum vertical height attained by projectiler.a24b
D.The time of flight of projectiles.g1+a22b
 ABCD
1.pqrs
2.spqr
3.sprq
4.psrq

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a

2

b

1

c

3

d

4

answer is C.

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Detailed Solution

y=axbx2 

y=ax1xab   .................. (i)

y=x tanθ1xR ................... (ii)

From (i) and (ii), 

R=ab ; tanθ=a

u=g1+a22b

T=a2bg

H=a24b

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