Question

write the relation between two angles for which horizontal ranges will be equal​

Answer 1

For same range but different angles

according to formula of range

$range \: = {u}^{2} sin2 \frac{ \alpha }{g}$

$now \: \: if \: \: \alpha 1 = 30 \: \: and \: \alpha 2 = 60$

$sin2 (30) = sin60$

$sin2(60) = sin120 = sin60$

with same speed of projection

as the sine is equal so the range will be equal

Hence relation b/w the two angles is

$\alpha 1 \: \: is \: to \: \alpha 2 \: \: = 1 \: is \: to \: 2$

(alpha 1 : alpha 2 = 1:2)

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