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3-2.Motion in Plane
hard
In the given figure for a projectile
A
$y=\left[\frac{x_1 x_2}{x_1-x_2}\right] \tan \theta$
B
$y=\left[\frac{x_1 x_2}{x_1+x_2}\right] \tan \theta$
C
$y=\left[\frac{2 x_1 x_2}{x_1+x_2}\right] \cos \theta$
D
$y=\left[\frac{2 x_1 x_2}{x_1+x_2}\right] \tan \theta$
Solution
(b)
The equation of trajectory for point ' $P$ 'can be written as :
$y=x \tan \theta\left(1-\frac{x}{R}\right)=x_1 \tan \theta\left(1-\frac{x_1}{x_1+x_2}\right)=x_1 \tan \theta\left(\frac{x_1+x_2-x_1}{x_1+x_2}\right)$
$y=\frac{x_1 x_2}{x_1+x_2} \tan \theta$
Standard 11
Physics
Similar Questions
A particle is projected from ground with velocity $u$ at angle $\theta$ from horizontal. Match the following two columns.
| Column $I$ | Column $II$ |
| $(A)$ Average velocity between initial and final points | $(p)$ $u \sin \theta$ |
| $(B)$ Change in velocity between initial and final points | $(q)$ $u \cos \theta$ |
| $(C)$ Change in velocity between initial and final points | $(r)$ Zero |
| $(D)$ Average velocity between initial and highest points | $(s)$ None of the above |
medium
medium
