Two projectiles are fired from the same point | vedclass

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Question

$\begin{array}{l}
Given,\,{u_1} = {u_2} = u,\,\,\,\,\,\,{	heta _1} = {60^ \circ },\,\,{	heta _2} = {30^ \circ }\
In\,1st\,case,\,we\,know\,that\,

Vedclass · Accepted Answer

Their range will be same

Vedclass · Answer

$\begin{array}{l}
Given,\,{u_1} = {u_2} = u,\,\,\,\,\,\,{	heta _1} = {60^ \circ },\,\,{	heta _2} = {30^ \circ }\
In\,1st\,case,\,we\,know\,that\,range\
{R_1} = \frac{{{u^2}\sin 2\left( {{{60}^ \circ }} ight)}}{g} = \frac{{{u^2}\sin {{120}^ \circ }}}{g}\
\,\,\,\,\,\,\, = \frac{{{u^2}\sin \left( {{{90}^ \circ } + {{30}^ \circ }} ight)}}{g}\
 = \frac{{{u^2}\left( {\cos {{30}^ \circ }} ight)}}{g} = \frac{{\sqrt 3 {u^2}}}{{2g}}
\end{array}$

$\begin{array}{l}
In\,IInd\,case\,when\,\,{	heta _2} = {30^{ \circ \,}},\,then\
{R_2} = \frac{{{u^2}\sin {{60}^ \circ }}}{g} = \frac{{{u^2}\sqrt 3 }}{{2g}} \Rightarrow {R_1}{R_2}\
\left( {we\,get\,same\,value\,of\,ranges} ight).
\end{array}$

Two projectiles are fired from the same point with the same speed at angles of projection $60^o$ and $30^o$ respectively. Which one of the following is true?

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