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2.Motion in Straight Line
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The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the $x$-axis as shown in the figure. The ratio of their respective velocity is :
A
$1: 1$
B
$1: 2$
C
$1: \sqrt{3}$
D
$\sqrt{3}: 1$
(NEET-2022)
Solution
Velocity is slope of $x$-t graph
$V =\frac{ dx }{ dt }=\tan \theta$
$\frac{ V _{1}}{ V _{2}}=\frac{\tan \theta_{1}}{\tan \theta_{2}}=\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1}{\sqrt{3}}$
Standard 11
Physics
