A projectile is thrown from a point O on the ground at an angle 45^ from the vertical and with a speed 5 2 ~m / s . The projectile at the highest point of its trajectory splits into two equal parts. One part falls

JEE Advanced 2021Paper 1

JEE Advanced 2021 · Paper 1 · Physics · Motion in Two Dimensions

A projectile is thrown from a point O on the ground at an angle 45^...

A projectile is thrown from a point

\mathrm{O}

on the ground at an angle

45^{\circ}

from the vertical and with a speed

5 \sqrt{2} \mathrm{~m} / \mathrm{s}

. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground,

0.5 \mathrm{~s}

after the splitting. The other part,

t

seconds after the splitting, falls to the ground at a distance

x

meters from the point O. The acceleration due to gravity

g=10 \mathrm{~m} / \mathrm{s}^{2}

.
The value of

x

is ________. A projectile is thrown from a point O on the ground at an angle 45^ from the vertical and with a speed 5 2 ~m / s . The

A projectile is thrown from a point O on the ground at an angle 45^ from the vertical and with a speed 5 2 ~m / s . The

So,

$x = \dfrac{R}{2} + r$

Where, $R$ is the range of oblique projectile and $r$ is the range of horizontal projectile.

$x = \dfrac{R}{2} + 10 \times \sqrt{\dfrac{2h}{g}}$

$x = \dfrac{{u}^{2}\sin 2\theta}{g \times 2} + 10 \times 0.5$

$x = \dfrac{50}{20} + 5$

$x = 2.5 + 5$

$x = 7.5m$