A ball is thrown at an angle θ with horizontal. Its horizontal range is equal to its maximum height

English

Gujarati

Hindi

3-2.Motion in Plane

medium

A ball is thrown at an angle $\theta$ with the horizontal. Its horizontal range is equal to its maximum height. This is possible only when the value of $\tan \theta$ is ..........

A

$4$

B

$2$

C

$1$

D

$0.5$

Solution

(a)

$\frac{H}{R}=\frac{1}{4} \tan \theta$

$\Rightarrow H=R$, given,

$\tan \theta=4$

$\Rightarrow \theta=\tan ^{-1}(4)$

Standard 11

Physics

Share

Similar Questions

A particle is projected in air at some angle to the horizontal, moves along parabola as shown in figure where $x$ and $y$ indicate horizontal and vertical directions respectively. Shown in the diagram, direction of velocity and acceleration at points $A, \,B$ and $C$.

medium

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles $\theta _1$ and $\theta_2$ respectively from the horizontal, then answer the following question

If $v_1\,\,cos\,\,\theta _1 = v_2\,\,cos\,\,\theta _2$, then choose the incorrect statement

medium

A projectile crosses two walls of equal height $H$ symmetrically as shown The velocity of projection is…….. $ms^{-1}$

hard

The trajectory of projectile, projected from the ground is given by $y=x-\frac{x^2}{20}$. Where $x$ and $y$ are measured in meter. The maximum height attained by the projectile will be $………..\,m$

medium

(JEE MAIN-2023)

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following

easy