Question

with explanation plssssssssssss​

Answer 1

We clearly know that the slope of a position time graph gives velocity of the object.

Now, in the image there are two slopes with different angles are given.

{Additional info:- The slope which makes larger angle is the object with higher velocity}

Now,

Since the slopes are the velocities:-

V1/V2 = tan30°/tan60°

=> 1/√3/√3

=>1/3

So, 1) 1/3 is the correct option.

Cheers!

Answer 2

Answer:

$\frac{1}{ \sqrt{3} }$

Explanation:

$as \: we \: know \: that \: the \: slope \: \\ \\ \\ ( \frac{y}{x} = \: \frac{position}{time}) \: of \\ \\ \: position \: - time \: graph \: gives - \: \\ \\ velocity \\ \\ here \: v1(velocity \: of \: 1) \: slope \: = tan \alpha \\ = tan \: 30 \\ \\ = \frac{1}{ \sqrt{3} } \\ \\ similarly \: v2 \: (velocity \: of \: 2) = \: slope \: \\ tan \beta \\ \\ = tan \: 60 \\ \\ = \sqrt{3}$

$now \: ratio \: = \frac{v1}{v2} \\ \\ = \frac{ \frac{1}{ \sqrt{3} } }{ \sqrt{3} } \\ \\ = \frac{1}{3}$