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# The equation of trajectory of a projectile is given by $y=x -\large\frac{x^2}{100}$ Find the range .

$\begin{array}{1 1}(A)\;100\;m \\(B)\;200\;m \\(C)\;300\;m\\(D)\;2m \end{array}$

Comparing $y=x -\large\frac{x^2}{100}$
with $y=\tan\theta x-\large\frac{1}{2} \frac{g}{u^2 \cos ^2 \theta}$$x^2$
we get that the value of $\theta=45$
$R=\large\frac{v_0^2 \sin 2 \theta }{g}$
$\quad= \large\frac{1000 \sin 90^{\circ}}{10}$
$\quad=100 m$
Hence A is the correct answer.

edited Aug 14, 2014