Two projectiles A and B are projected with same speed at an angle 30% and 60° to the horizontal, tren
which of the following is valid, where T is total time of tight, H is max height and Ris horizontal ange
(A)HA = 3H2
B) T = √3TA (C) R =R
(D) H =3H,
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Answer:
The initial velocity for both the projectiles is the same. Let it be u m/s.
The maximum height of a projectile is given by,
h = \frac{{u}^{2} {sin}^{2} \gamma }{2g}
Where, gamma is the angle of projection, u is the initial velocity and g is the acceleration due to gravity.
Considering one angle at 30° and other as 60°, the ratio will be,
\frac{h1}{h2} = \frac{ {sin}^{2} 30}{{sin}^{2} 60} = \frac{0.25}{0.75} = \frac{1}{3}
Hence, the ratio of the maximum heights projectiles lauched from angles 30° and 60° is 1/3.
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