When do we get maximum range in a simple projectile motion?

Category: QuestionsWhen do we get maximum range in a simple projectile motion?
Editor">Editor Staff asked 1 year ago

When do we get maximum range in a simple projectile motion?
 
(a) When θ = 45°
 
(b) When θ = 60°
 
(c) When θ = 90°
 
(d) When θ = 0°
 
The question was posed to me during an internship interview.
 
The doubt is from Simple Projectile Motion in chapter Motion in a Plane of Physics – Class 11
Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 1 year ago

Correct option is (a) When θ = 45°
 
Easiest explanation: The formula for horizontal range is R = v^2(sin 2θ)/g. This will be maximum when sin 2θ = 1, which implies that 2θ = 90°, which in turn implies that θ = 45°. Hence the correct answer is when θ = 45°.


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