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A ball is thrown from a roof top at angle of $45^{\circ}$ 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.
(a) greatest speed
(b) smallest speed
(c) greatest acceleration Explain.
Solution:
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Verified Answer

Let us consider a ball is projected from $O$ at an angle of $45^{\circ}$ with horizontal and covering the path $O A B C$ (shown in figure).
(a) At point $B$, it will gain the same speed $u$ and after that speed increases and will be maximum just before reaching $C$. So greatest speed of ball is at $C$.
(b) During upward journey from $O$ to $A$ speed decreases and will be minimum at point $A$ where maximum height and $v_y=0$ has only horizontal component of speed $v_x$ $=\frac{u}{\sqrt{2}}$.
(c) As the force acting on ball is only due to gravitational force acts downward and constant so acceleration is always constant throughout the journey and is vertically downward equal to $g$.
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