Question:
A ball is projected from a point on the floor with a speed of $12 \mathrm{~m} / \mathrm{s}$ at an angle 60 with the horizontal, Will it hit a vertical wall $5 \mathrm{~m}$ away from the point of projection and perpendicular to the plane of projection without hitting the floor? Will the answer differ if the wall is $22 m$ away?
Solution:
$R=\frac{u^{2} \sin 2 \theta}{g}$
$=\frac{(15)^{2} \sin (2 x 60)}{9.8}$
$\mathrm{R}=19.88 \mathrm{~m}$
Ball will hit $5 \mathrm{~m}$ away wall
If wall is at a distance of $22 \mathrm{~m}$, it will not hit directly
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