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Part a which projectile spends more time in the air, the one fired from 30∘ or the one fired from 60∘? which projectile spends more time in the air, the one fired from 30 or the one fired from 60? the one fired from 30∘ they both spend the same amount of time in the air. the one fired from 60∘

User Dxx
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2 Answers

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The time it takes for the object in projectile motion to be in air is calculated through the equation,

time of flight = 2v₀sinθ/g

If all else are equal except for θ then, we compare their sin values.
sin(30°) = 0.5
sin(60°) = 0.866

Since the value of sin60° is greater than the value of sin30° then, projectile motion fired at an angle of 60° will spend more time in air.

The answer is the last choice.
User Najim El Guennouni
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The correct answer is the One fired from from 60° . This is because the projectile fired from 60° has a greater vertical velocity compared to the one fired from 30° and therefore spends more time on air. Vertical velocity is the velocity of a body as it moves upwards, it is normally affected by the gravitational acceleration, however it is not affected by the horizontal velocity.
User Pistou
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