Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 2004

Exam: JEE Main
Year: 2004
Subject: Physics
Chapter: Motion in Two Dimensions

JEE Main 2004 · Physics · Motion in Two Dimensions

If t_1 and t_2 are the times of flight of two particles having the...

If

t_1

and

t_2

are the times of flight of two particles having the same initial velocity

u

and range

\mathrm{R}

on the horizontal, then

\mathrm{t}_1^2+\mathrm{t}_2^2

is equal to

Options

A $\frac{u^2}{g}$
B $\frac{4 u^2}{g^2}$
C $\frac{u^2}{2 g}$
D1

Correct answer

B. $\frac{4 u^2}{g^2}$

Step-by-step solution

\mathrm{t}_1=\frac{2 \mathrm{u} \sin \alpha}{\mathrm{g}}, \mathrm{t}_2=\frac{2 \mathrm{u} \sin \beta}{\mathrm{g}}

where

\alpha+\beta=90^{\circ}

\therefore \mathrm{t}_1^2+\mathrm{t}_2^2=\frac{4 \mathrm{u}^2}{\mathrm{~g}^2}

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle is thrown with a speed v from a point O at an angle θ with the horizontal… JEE Advanced 2026 A car moving with a speed of 54 km/h takes a turn of radius 20 m. A simple pendulum is… JEE Main 2026 Two identical bodies, projected with the same speed at two different angles cover the… JEE Main 2026 If x and y coordinates of a projectile as a function of time (t) are given as 24t and… JEE Main 2026 A gun mounted on the ground fires bullets in all directions with same speed. The farthest… JEE Main 2026 Two projectiles are projected with the same initial velocities at the 15^∘ and 30^∘ with… JEE Main 2026 A boy throws a ball into air at 45^ ∘ from the horizontal to land it on a roof of a… JEE Main 2026 An object is projected with kinetic energy K from a point A at an angle 60^ ∘ with the… JEE Main 2026 Full Motion in Two Dimensions list All JEE Main PYQs