A particle is projected with an angle of projection $\theta$ to the horizontal line passing through the points $( P , Q )$ and $( Q , P )$ referred to horizontal and vertical axes (can be treated as $x$-axis and $y$-axis respectively).
The angle of projection can be given by
$\tan ^{-1}\left[\frac{ P ^2+ PQ + Q ^2}{ PQ }\right]$
$\tan ^{-1}\left[\frac{ P ^2+ Q ^2- PQ }{ PQ }\right]$
$\tan ^{-1}\left[\frac{ P ^2+ Q ^2}{2 PQ }\right]$
$\sin ^{-1}\left[\frac{ P ^2+ Q ^2+ PQ }{2 PQ }\right]$
A truck is moving on the horizontal road with constant speed $v.$ A ball is thrown from the truck vertical up at speed $u$ $w.r.t.$ truck. What is distance traversed by the truck when ball returns on the truck
Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles $\theta _1$ and $\theta_2$ respectively from the horizontal, then answer the following question
If $v_1 = v_2$ and $\theta _1 > \theta _2$, then choose the incorrect statement
The $x-t$ graph of a particle moving along a straight line is shown in figure The speed-time graph of the particle is correctly shown by
The initial speed of a projectile fired from ground is $u$. At the highest point during its motion, the speed of projectile is $\frac{\sqrt{3}}{2} u$. The time of flight of the projectile is:
Three identical balls are projected with the same speed at angle $30^o, 45^o$ and $60^o$. Their ranges are $R_1 R_2$ and $R_3$ respectively. Then