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A ball is thrown at a speed v from zero height on a level ground.At what angle with horixontal shold the ball be thrown so that area under the trajectory is maximum

keerthe sre , 8 Years ago
Grade 11
anser 1 Answers
Vikas TU
Dear Student,
You can utilize the shot movement conditions,
x=vcos(θ)t => x=vcos(θ)t and
y=vsin(θ)t−g/2t2 => y=vsin(θ)t−g/2t2 and wipe out tt to get a condition for the bend y=tan(θ)x−gx2v2cos(θ)2 => y=tan(θ)x−gx2v2cos(θ)2.
At that point you can get a condition for the territory by means of A=∫xf0ydxA=∫0xfydx.
Presently to expand this you need to take a subsidiary and set it to zero. Since it's really an utilitarian you'd have to utilize the euler langrange conditions to register it for a given vv however I accept on the premise of less complex contentions despite everything you'd get 45°.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
Last Activity: 8 Years ago
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