Five balls A,B,C,D and E are projected with the same speed making angles of $$10o$$, $$30o$$, $$45o$$, $$60o$$ and $$80o$$ respectively with the horizontal. Which ball will strike the ground at the farthest point?

Question

Infinity Learn · Accepted Answer

The horizontal range of a projectile is given $$byR=u2sin$$⁡$$2$$θgThe range R is maximum when $$sin$$⁡$$2$$θ is maximum. Thussin⁡$$2$$θ$$=1$$  or  $$2$$θ$$=$$π$$/2or$$               θ$$=$$π$$/4$$∴         θ$$=45$$∘So, the body C will have the maximum range.

Five balls A,B,C,D and E are projected with the same speed making angles of 10^o, 30^o, 45^o, 60^o and 80^o respectively with the horizontal. Which ball will strike the ground at the farthest point?

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Five balls A,B,C,D and E are projected with the same speed making angles of 10o, 30o, 45o, 60o and 80o respectively with the horizontal. Which ball will strike the ground at the farthest point?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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Five balls A,B,C,D and E are projected with the same speed making angles of 10^o, 30^o, 45^o, 60^o and 80^o respectively with the horizontal. Which ball will strike the ground at the farthest point?