Projectile Motion
Range is maximum when launch angle is:
Select the correct option:
Solution
45°
The horizontal range R of a projectile is given by: R=gu2sin2θ To maximize R for a given u, the term sin2θ must be maximum. The maximum value of the sine function is 1, which occurs when the angle is 90∘. 2θ=90∘⟹θ=45∘. Thus, a launch angle of 45∘ provides the maximum range on horizontal ground.
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About This Question
- Subject
- physics
- Chapter
- kinematics
- Topic
- projectile motion
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
45°
The horizontal range R of a projectile is given by: R=gu2sin2θ To maximize R for a given u, the term sin2θ must be maximum. The maximum value of the sine function is 1, which occurs when the angle is 90∘. 2θ=90∘⟹θ=45∘. Thus, a launch angle of 45∘ provides the maximum range on horizontal ground.
This easy difficulty physics question is from the chapter kinematics, covering the topic of projectile motion. It appeared in the 2025 exam.
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