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a tank is filled up to a height 2H WITH A LIQUID and is placed on a platform of height H from the ground .the distance x from the ground where a small hole is punched to get maximum range R is?

a tank is filled up to a height 2H WITH A LIQUID and is placed on a platform of height H from the ground .the distance x from the ground where a small hole is punched to get maximum range R is?

Grade:12

4 Answers

k sesi preetam
7 Points
8 years ago

H/2.

Akash Kumar Dutta
98 Points
8 years ago

let the distance be x.

then range(R)=2 . [(3H-x).x]^1/2 ......................... [ since t=(2x/g)^1/2 and v={2g(3H-x)}^1/2  ]

 R^2 = 4.(3Hx-x^2)

 for R to be max...R^2 should be max.

hence differentiating and putting d(R^2)/dx=0.
we get 3H-2x=0

x=3H/2 (ANS).                                                   

avinash saran
20 Points
8 years ago

you have to differentiate it

Abhishekh kumar sharma
34 Points
8 years ago

3h/2

use torcellies law to find the horizontal velocity then as projectile motin calcute the range

then diffrentiate to get the desired result

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