Question

the position time graphs of two cars A and B are straight lines making angles 30 degree and 60 degree with time axia respectively . the ratio of velocities of A and B is

Answer 1

Answer:

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Answer 2

REQUIRED RATIO IS 1 : 3.

Given:

• Angle made by the graphs for car A and B are 30° & 60° respectively.

To find:

• Ratio of velocities of A and B ?

Calculation:

The slope (or tan of angle of graph) of POSITION-TIME graph gives. the velocity of a particle.

So, required ratio is :

$\dfrac{ v_{A} }{ v_{B} } = \dfrac{ \tan( {30}^{ \circ} ) }{ \tan( {60}^{ \circ} ) }$

$\implies \dfrac{ v_{A} }{ v_{B} } = \dfrac{ \dfrac{1}{ \sqrt{3} } }{ \sqrt{3} }$

$\implies \dfrac{ v_{A} }{ v_{B} } = \dfrac{ 1 }{ \sqrt{3} \times \sqrt{3} }$

$\implies \dfrac{ v_{A} }{ v_{B} } = \dfrac{ 1 }{ 3 }$

So, required ratio is 1 : 3