Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 202126 FebruaryEvening Shift

Exam: JEE Main
Year: 2021
Date: 26 February
Shift: Evening Shift
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2021 · 26 February · Evening Shift · Physics · Motion in One Dimension

A scooter accelerates from rest for time t _ 1 at constant rate a _...

A scooter accelerates from rest for time

{t}_{1}

at constant rate

{a}_{1}

and then retards at constant rate

{a}_{2}

for time

{t}_{2}

and comes to rest. The correct value of

\dfrac{{t}_{1}}{{t}_{2}}

will be :

A scooter accelerates from rest for time t _ 1 at constant rate a _ 1 and then retards at constant rate a _ 2 for time

Options

A
$\dfrac{{a}_{2}}{{a}_{1}}$
B $\dfrac{{a}_{1}}{{a}_{2}}$
C $\dfrac{{a}_{1} + {a}_{2}}{{a}_{1}}$
D $\dfrac{{a}_{1} + {a}_{2}}{{a}_{2}}$

Correct answer

A.

$\dfrac{{a}_{2}}{{a}_{1}}$

Step-by-step solution

Draw $vt$ curve

A scooter accelerates from rest for time t _ 1 at constant rate a _ 1 and then retards at constant rate a _ 2 for time

$tan{\theta}_{1} = {a}_{1} = \dfrac{{v}_\max}{{t}_{1}}$
$\text{ and } tan{\theta}_{2} = {a}_{2} = \dfrac{{v}_\max}{{t}_{2}}$
$\div$ above

$\dfrac{{t}_{1}}{{t}_{2}} = \dfrac{{a}_{2}}{{a}_{1}}$

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a… JEE Main 2026 Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12… JEE Main 2026 The velocity ( v ) versus time ( t ) plot of a particle is shown in the figure, for a… JEE Main 2026 From 18 m height above the ground a ball is dropped from rest. The height above the… JEE Main 2026 Two cars A and B are moving in the same direction along a straight line with speeds 100… JEE Main 2026 The velocity of a particle is given as v = -x i + 2y j - z k m/s. The magnitude of… JEE Main 2026 A particle starts moving from time t=0 and its coordinate is given as x(t)=4 t^ 3 -3 t A.… JEE Main 2026 Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the… JEE Main 2026 Full Motion in One Dimension list All JEE Main PYQs