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Question

A projectile thrown at an angle of 30o with the horizontal has a range R1 and attains a maximum height h1 . Another projectile thrown, with the same speed, at an angle 30o with the vertical, has a range R2 and attains a maximum height h2 . The relation between R1 and R2 is :-

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Solution

For first projectile motion, the angle from horizontal is given as,

θ1=30

For second projectile motion, the angle from horizontal is given as,

θ2=9030

=60

The range R1 is given as,

R1=u2sin2θg

=u2sin(2×30)g

=3u22g

The range R2 is given as,

R2=u2sin2θg

=u2sin(2×60)g

=3u22g

Thus, the relation between R1 and R2 is R1=R2.


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