Question

Two stones A and B are thrown at angle of eand (90°-0) with the horizontal. The ratio
of their horizontal ranges is
A) 1:1
C) tan 0 : 1
B) tan0
D) 1: tan
​

Answer 1

Explanation:

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Answer 2

Concept introduction:

In projectile motion, sometimes referred to as parabolic motion, a body is launched at a speed that creates an angle with the horizontal. A depiction of the scenario may be seen in the accompanying figure. Motion in a parabola Projectiles often move in this manner because only gravity affects moving things in motion.

Explanation:

Given that, two stones thrown at an angle θ and ($90$ - θ)

We have to find, the ratio of horizontal ranges of two stones.

According to the question,

Horizontal range of projectile motion is = $u^{2}$ sin$2$θ/g

Ratio of ranges =  $u^{2}$ sin$2$θ * g / $u^{2}$ sin$2(90-$θ)*g

= sin$2$θ/sin($180-$$2$θ) = sin$2$θ/sin$2$θ = $1:1$

Final Answer:

The ration of horizontal ranges is  $1:1$.

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