Question

Draw a graph showing the variation of horizontal displacement (range ) with respect to angle of projection from 0 degree to 90 degree
​

Answer 1

To draw:

Graph representing the variation of horizontal range of a projectile with respect to the initial angle of projection.

Solution:

Let angle of projection be $\theta$.

So, general expression of range is as follows:

$\boxed{ \bold{R = \dfrac{ {u}^{2} \sin(2 \theta) }{g} }}$

Keeping , initial velocity of projection and gravitational acceleration to be constant we can say that :

$\boxed{ \bold{R \propto \sin(2 \theta) }}$

So, the required graph will be sinusoidal in nature as shown in the attached diagram.

• Consider the Range on Y axis and $\theta$ on the X axis.

• You will observed that maximum range is obtained at $\theta = \dfrac{\pi}{4}$.

• Minimum range in case of $\theta=\dfrac{\pi}{2}$.

HOPE IT HELPS.