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Mechanics

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 Joined: 5 Mar 2012 Post: 28
8 Apr 2012 23:23:09 IST
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A projectile has maximum range of 200m. What is the maximum height attained by it?50 or 100m?

Cool goIITian

Joined: 29 Mar 2012
Posts: 57
12 Apr 2012 06:18:53 IST
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50m...i think

Cool goIITian

Joined: 9 Jan 2012
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12 Apr 2012 09:31:44 IST
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100

Cool goIITian

Joined: 9 Jan 2012
Posts: 90
12 Apr 2012 09:32:47 IST
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sorry it is 50

Hot goIITian

Joined: 11 Mar 2012
Posts: 124
12 Apr 2012 09:56:23 IST
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It should be 63.63 rounding off gives 50...

Blazing goIITian

Joined: 2 Mar 2012
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12 Apr 2012 11:12:58 IST
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Its exact 50

Blazing goIITian

Joined: 30 Aug 2011
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12 Apr 2012 11:19:40 IST
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exactly 50m

New kid on the Block

Joined: 12 Apr 2012
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12 Apr 2012 15:10:51 IST
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50m because, max height attained=range/4

New kid on the Block

Joined: 12 Apr 2012
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12 Apr 2012 15:10:52 IST
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50m because, max height attained=range/4

New kid on the Block

Joined: 12 Apr 2012
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12 Apr 2012 15:11:57 IST
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how?

Hot goIITian

Joined: 11 Mar 2012
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13 Apr 2012 10:35:06 IST
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Oh Yes.... You are right but i did it from S=ut+1/2gt^2

New kid on the Block

Joined: 13 Apr 2012
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13 Apr 2012 18:55:00 IST
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den solv rajat

New kid on the Block

Joined: 13 Apr 2012
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13 Apr 2012 20:22:03 IST
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50 for sure coz RTan@=4H

Blazing goIITian

Joined: 1 Apr 2012
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14 Apr 2012 19:58:05 IST
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50 exactly

New kid on the Block

Joined: 5 Mar 2012
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14 Apr 2012 20:13:03 IST
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Forum Expert
Joined: 23 Jan 2007
Posts: 7958
14 Apr 2012 21:53:05 IST
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We should know this useful formula of tan@ = 4H/R...where @ is angle of projection, H is maximum hieght attained, R is range.

Here range is maximum when @=45 degree for which R is given as 200 m

tan(45deg) = 4H/200

=>  H = 50 m

Hot goIITian

Joined: 15 Apr 2012
Posts: 109
17 Apr 2012 08:05:14 IST
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