Question:
An object is projected so that its horizontal range $R$ is maximum. If the maximum height attained by the object is $H$, then the ratio of $R/H$ is
An object is projected so that its horizontal range $R$ is maximum. If the maximum height attained by the object is $H$, then the ratio of $R/H$ is
Updated On: Jun 7, 2024
- $ 4 : 1 $
- $ 1 : 4 $
- $ 2 : 1 $
- $ 1 : 2 $
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The Correct Option is A
Solution and Explanation
$R=4 H \cot \theta$ Here, $\theta=45^{\circ}$
then $R=4 H$
$\Rightarrow \frac{R}{H}=\frac{4}{1}$
then $R=4 H$
$\Rightarrow \frac{R}{H}=\frac{4}{1}$
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration