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Home / Doubts and Solutions/JEE/Physics

Is a projectile of a ball projected from 30 degree same as the ball projected from 60 degree??

Asked by pukai7229 1st September 2018, 7:36 PM
Answered by Expert
Answer:
There are two main characterstics of Projectile, (1) Range - maximum horizontal distance travelled,
(2) maximum height reached vertically
 
Let u and θ be the velocity and angle of projectrion respectively.
 
Range R is given by, Rbegin mathsize 12px style equals space fraction numerator u squared sin 2 theta over denominator g end fraction space end style
when θ=30º or θ=60º Range is same as begin mathsize 12px style fraction numerator square root of 3 over denominator 2 end fraction u squared over g end style
maximum height h is given by, h =begin mathsize 12px style fraction numerator u squared sin squared theta over denominator 2 g end fraction end style
when θ=30º, h30 = begin mathsize 12px style 1 fourth fraction numerator u squared over denominator 2 g end fraction end style
when θ=60º, h60 = begin mathsize 12px style 3 over 4 fraction numerator u squared over denominator 2 g end fraction end style
conclusion :- For the same velocity of projection, if angle of projection is 30º or 60º, Range-maximum horizontal distance travelled is same.
For the same velocity of projection, if angle of projection is 60º, maximum vertical height reached is three times compare to the
maximu height reached by the projectile whose angle of projection is 30º
Answered by Expert 1st September 2018, 9:36 PM
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