A projectile is thrown with speed $40 \,ms ^{-1}$ at angle $\theta$ from horizontal. It is found that projectile is at same height at $1 \,s$ and $3 \,s$. What is the angle of projection?
$\tan ^{-1}\left(\frac{1}{\sqrt{2}}\right)$
$\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)$
$\tan ^{-1}(\sqrt{3})$
$\tan ^{-1}(\sqrt{2})$
A projectile is fired with a velocity at right angle to the slope which is inclined at an angle $\theta$ with the horizontal. The expression for the range $R$ along the incline is
Derive the formula for time taken to achieve maximum, total time of Flight and maximum height attained by a projectile.
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first
A shell is fired vertically upwards with a velocity $v_1$ from a trolley moving horizontally with velocity $v_2$. A person on the ground observes the motion of the shell as a parabola, whose horizontal range is ....
A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected with the same speed at an angle of $30^o$ with the horizontal. At the highest point, the ratio of their potential energies is