Assume that the particle was fired from origin in x y plane with u = 3 i ^ + 4 j ^ ( m / s ) , acceleration due to gravity g = − 10 j ^ ( m / s 2 ) . If the following figure correctly represent its space time diagram, the find α + β -0.2 ?

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Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityMiscellaneousMedium2 minQB

PhysicsMediumnumerical

Passage / Comprehension

Minkowski's spacetime diagram is very useful in relativity. In Einstein's theory of relativity, space and time are interwoven. Here, we will not consider the theory of relativity, but rather the spacetime diagram. We assume a particle is moving only in the $x y$ -plane. Its motion is represented along a 3-dimensional graph where the $x$ and $y$ axes represent the $x$ and $y$ coordinates of the particle, and $z$ represents $v t$ . Here, $v$ is an arbitrary constant ( $1 m / s$ ) chosen so that $z$ also has units of length. At $t = 0$ , the particle is at the origin of coordinates. $z > 0$ represents the future of this particle, and $z < 0$ represents its past.

Assume that the particle was fired from origin in $x y$ plane with $u = 3 \hat{i} + 4 \hat{j} (m / s)$ , acceleration due to gravity $g = - 10 \hat{j} (m / s^{2})$ . If the following figure correctly represent its space time diagram, the find $α + β$ -0.2 ?

Answer:

3.00

Solution:

$α = 2.4 m$ $β = 0.8 m$

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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