The relation between position (x) and time (t) are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where α and β are positive constants]

Question

The relation between position (x) and time (t) are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where α and β are positive constants] (A) β x=α t+α β (B) α x=β+t (C) x t=α β (D) α t=√β+x

Tardigrade Admin · Accepted Answer

For uniformly accelerated motion <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2b5ebd38b6b53fd766ba87e058e59912-.png" /> Or the maximum power of t has to be two. So, 4

Q. The relation between position $(x)$ and time $(t)$ are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where $α$ and $β$ are positive constants]

$β x = α t + α β$

$αx = β + t$

$x t = α β$

$α t = β + x$

For uniformly accelerated motion

Or the maximum power of t has to be two. So, $4$

Q. The relation between position (x) and time (t) are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where α and β are positive constants]

βx=αt+αβ

αx=β+t

xt=αβ

αt=β+x​