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3-2.Motion in Plane
hard
A player throws a ball that reaches to the another player in $4\,s$. If the height of each player is $1.5\,m$, the maximum height attained by the ball from the ground level is .......... $m$
A
$19.6$
B
$21.1$
C
$23.6$
D
$25.1$
Solution
$\mathrm{T}=\frac{2 \mathrm{u} \sin \theta}{\mathrm{g}}=4 \mathrm{s}$
$\therefore u \sin \theta=2 g$
$\mathrm{H}=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{g}}=\frac{4 \mathrm{g}^{2}}{2 \mathrm{g}}=2 \mathrm{g}$
$2 \times 9.8=19.6 \mathrm{m}$
Height of the ball above the ground $=19.6+1.5$
$=21.1 \mathrm{m}$
Standard 11
Physics
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