CBSE Class 11-science Answered
prove that a gun will shoot three times as high when its angle of elevation 60 degree as when it is 30 degree, but cover the same horizontal range.
Asked by dharya21 | 03 Jul, 2010, 00:00: AM
We know that Maximum height reached, H = ![Double click to edit](https://images.topperlearning.com/topper/forum_images/0cd65a098e1be1a1012c69ccebb22c68.png)
![Double click to edit](https://images.topperlearning.com/topper/forum_images/0cd65a098e1be1a1012c69ccebb22c68.png)
and, horizontal range R =
'
![Double click to edit](https://images.topperlearning.com/topper/forum_images/558488065c1e22bf948edd80dbf2a3e3.png)
For θ = 300,
H1 =
=
= ![Double click to edit](https://images.topperlearning.com/topper/forum_images/3031d8aec733dedfa181c7a1a124f6fe.png)
![Double click to edit](../../../app/webroot/js/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=0cd65a098e1be1a1012c69ccebb22c68.png)
![Double click to edit](https://images.topperlearning.com/topper/forum_images/3b382ab9de28eb18d858197ef67cc16b.png)
![Double click to edit](https://images.topperlearning.com/topper/forum_images/3031d8aec733dedfa181c7a1a124f6fe.png)
R1 =
= ![Double click to edit](https://images.topperlearning.com/topper/forum_images/1ac650026c7d45ab072ea099aa9dc69f.png)
![Double click to edit](../../../app/webroot/js/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=558488065c1e22bf948edd80dbf2a3e3.png)
![Double click to edit](https://images.topperlearning.com/topper/forum_images/1ac650026c7d45ab072ea099aa9dc69f.png)
For θ = 600 ,
H2 =
= ![Double click to edit](https://images.topperlearning.com/topper/forum_images/b2232ed2356d2819bc4d800185a475f3.png)
![Double click to edit](../../../app/webroot/js/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=0cd65a098e1be1a1012c69ccebb22c68.png)
![Double click to edit](https://images.topperlearning.com/topper/forum_images/b2232ed2356d2819bc4d800185a475f3.png)
R2 =
= ![Double click to edit](https://images.topperlearning.com/topper/forum_images/be1b2a0149caf277986d585fcf0eca00.png)
![Double click to edit](../../../app/webroot/js/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=558488065c1e22bf948edd80dbf2a3e3.png)
![Double click to edit](https://images.topperlearning.com/topper/forum_images/be1b2a0149caf277986d585fcf0eca00.png)
Therefore,
![Double click to edit](https://images.topperlearning.com/topper/forum_images/a9b0ebd5e7db8c5f1110572fa791e87c.png)
Hence Proved.
Answered by | 19 Jul, 2010, 12:53: PM
Concept Videos
CBSE 11-science - Physics
Asked by rustampathan | 25 Feb, 2024, 18:39: PM
CBSE 11-science - Physics
Asked by gipaalsy | 08 Feb, 2024, 05:41: AM
CBSE 11-science - Physics
Asked by priyankaprajapti81 | 04 Nov, 2023, 22:47: PM
CBSE 11-science - Physics
Asked by gdeadshot85 | 14 Jan, 2023, 21:58: PM
CBSE 11-science - Physics
Asked by devanshchauhan325 | 23 Dec, 2022, 07:34: AM
CBSE 11-science - Physics
Asked by koushtubhroy | 20 Dec, 2022, 07:36: AM
CBSE 11-science - Physics
Asked by pushpakumari291279 | 20 Aug, 2022, 08:15: AM
CBSE 11-science - Physics
Asked by adipadmakarri | 26 Sep, 2021, 18:08: PM
CBSE 11-science - Physics
Asked by adipadmakarri | 25 Sep, 2021, 11:18: AM