A projectile is fired with a speed $u$ at an angle $\theta$ with the horizontal. Its speed when its direction of motion makes an angle ‘$\alpha $’ with the horizontal is
$u\,\, sec\theta \,\,cos\alpha$
$u\,\, sec\theta\,\, sin\alpha$
$u \,\,cos\theta \,\,sec\alpha$
$u\,\, sin \theta \,\,sec\alpha$
A cricket ball is thrown at a speed of $28\; m /s$ in a direction $30^o$ above the horizontal. Calculate
$(a)$ the maximum height,
$(b)$ the time taken by the ball to return to the same level, and
$(c)$ the distance from the thrower to the point where the ball returns to the same level
An object is projected from ground with speed $20 \,m / s$ at angle $30^{\circ}$ with horizontal. Its centripetal acceleration one second after the projection is .......... $m / s ^2$ [Take $g=10 \,m / s ^2$ ]
Four bodies $P, Q, R$ and $S$ are projected with equal velocities having angles of projection $15^o , 30^o , 45^o $ and $60^o $ with the horizontal respectively. The body having shortest range is
The horizontal range is four times the maximum height attained by a projectile. The angle of projection is .......... $^o$
Find time of flight of projectile thrown horizontally with speed $50 ms^{^{-1}}$ from a long inclined plane which makes an angle of $\theta = 45^o$ from horizontal ........ $\sec$