projectiles

**calculus_jy** · June 24th 2008, 02:27 AM

the equation of a projectile can be written as

(i)show that the point

can be hit by firing at two different angles

and

if

(ii) show that no point ABOVE the x axis can be hit by firing at two different angles such that

and

i have completed part one but i have no idea how to approach part two

**CaptainBlack** · June 24th 2008, 03:29 AM

Originally Posted by calculus_jy

the equation of a projectile can be written as

(i)show that the point

can be hit by firing at two different angles

and

if

(ii) show that no point ABOVE the x axis can be hit by firing at two different angles such that

and

i have completed part one but i have no idea how to approach part two

The second part is asking you to show that the equation:

$y=x \tan(x) - \frac{1}{4h}x^2(1+\tan^2(x))$

has no (real) roots for $x$ when $\theta$ in the given range for any positive $y$ .

As this is a quadratic in $x$ you examine the discriminant.

RonL

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