Maximum horizontal range of a projectile is 16,km when projectile is thrown at an elevation of 30^o

English

Gujarati

Hindi

3-2.Motion in Plane

medium

The maximum horizontal range of a projectile is $16\,km$ when the projectile is thrown at an elevation of $30^o$ from the horizontal, it will reach to the maximum height of ....... $km$

A

$2$

B

$4$

C

$8$

D

$16$

Solution

$\mathrm{R}=\frac{\mathrm{u}^{2} \sin 2 \theta}{\mathrm{g}}$ so that $\mathrm{R}_{\max }=\frac{\mathrm{u}^{2}}{\mathrm{g}}=16 \mathrm{km}$

$\mathrm{H}_{\max }=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{g}}=2 \mathrm{km}$

Standard 11

Physics

Share

Similar Questions

The trajectory of a projectile in a vertical plane is $y =\alpha x -\beta x ^{2},$ where $\alpha$ and $\beta$ are constants and $x \& y$ are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection $\theta$ and the maximum height attained $H$ are respectively given by :-

hard

(JEE MAIN-2021)

The angle of projection for a projectile to have same horizontal range and maximum height is

hard

(JEE MAIN-2024)

For an object projected from ground with speed $u$ horizontal range is two times the maximum height attained by it. The horizontal range of object is ……….

hard

The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path shown in the figure is appropriate for the projectile

easy

The maximum horizontal range of a projectile is $160\, m$. When the projectile is thrown with the same speed at an elevation of $30^o$ from the horizontal, it will reach to the maximum height of ……… $m$

medium