A particle starting from rest and moves with constant acceleration travels a distance x in first 2 s

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2.Motion in Straight Line

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A particle starting from rest and moves with constant acceleration travels a distance $x$ in first $2$ seconds and a distance $y$ in next two seconds, then

$y = x$

$y = 2x$

$y = 3x$

$y = 4x$

Solution

(c) If particle starts from rest and moves with constant acceleration then in successive equal interval of time the ratio of distance covered by it will be
$1:3:5:7$ …..$(2n – 1)$

i.e. ratio of $x$ and $y$ will be $1:3$ i.e. $\frac{x}{y} = \frac{1}{3}$ $⇒$ $y = 3x$

Standard 11

Physics

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For a train engine moving with speed of $20 \;ms ^{-1}$. the driver must apply brakes at a distance of $500 \;m$ before the station for the train to come to rest at the station. If the brakes were applied at half of this distance, the train engine would cross the station with speed $\sqrt{ x }\; ms ^{-1}$. The value of $x$ is $…………..$ (Assuming same retardation is produced by brakes)

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(JEE MAIN-2023)

A particle starting from rest and moves with constant acceleration travels a distance $x$ in first $2$ seconds and a distance $y$ in next two seconds, then

Solution

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