Question

A particle is thrown with a speed u at angle of Ɵ from the ground. Find the time of the flight .. PLZ ANS FAST----> Need step by step explanation pls

Answer 1

Given:

A particle is thrown with a speed u at angle of Ɵ from the ground.

To find:

Time of flight for whole journey

Calculation:

This is a case of GROUND-GROUND PROJECTILE

Displacement in y axis ;

$\therefore \: y = u_{y}t - \dfrac{1}{2} g {t}^{2}$

$= > \: y = \{ u \sin( \theta) \}t - \dfrac{1}{2} g {t}^{2}$

For the full journey , the particle starts from ground and ends on the ground , so it's y axis displacement will be zero.

$= > \: 0 = \{ u \sin( \theta) \}t - \dfrac{1}{2} g {t}^{2}$

$= > \: \{ u \sin( \theta) \}t = \dfrac{1}{2} g {t}^{2}$

$= > \: u \sin( \theta) = \dfrac{1}{2} g t$

$= > \: t = \dfrac{2u \sin( \theta) }{g}$

So, final answer is:

$\boxed{ \sf{ \: t = \dfrac{2u \sin( \theta) }{g} }}$