A ball is thrown from a roof top at an angle of $45^o$ above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have $(a)$ greatest speed $(b)$ smallest speed $(c)$ greatest acceleration - Explain.
Consider the given figure in which a ball is projected from point 0 and goes to c through $\mathrm{A}$ and $\mathrm{B}$.
Ground
$(a)$ At point B, it will gain the same speed $v_{0}$ and after that speed increases and will be maximum just before reaching at$ C$.
$(b)$ During upward journey from $0$ to $A$ speed decreases and will be minimum at point A.
$(c)$ Acceleration is always constant and is equal to $g$.
Two particles are moving along two long straight lines, in the same plane, with the same speed $= 20 \,\,cm/s$. The angle between the two lines is $60^o$, and their intersection point is $O$. At a certain moment, the two particles are located at distances $3\,m$ and $4\,m$ from $O$, and are moving towards $O$. Subsequently, the shortest distance between them will be
If we can throw a ball upto a maximum height $H$, the maximum horizontal distance to which we can throw it is
The range of a projectile for a given initial velocity is maximum when the angle of projection is ${45^o}$. The range will be minimum, if the angle of projection is ......... $^o$
Derive the formula for Range of a projectile $(R)$. Derive the formula for maximum projectile.
A stone is thrown at an angle $\theta $ to the horizontal reaches a maximum height $H$. Then the time of flight of stone will be