A projectile is launched at 36 m/s and travels 100 m horizontally. If it is to be able to just barely clear a 10 m wall, between what two angles should the projectile be launched with respect to the horizontal?
i have almost no idea what to do!
A projectile is launched at 36 m/s and travels 100 m horizontally. If it is to be able to just barely clear a 10 m wall, between what two angles should the projectile be launched with respect to the horizontal?
i have almost no idea what to do!
HI
This is my take on it ..
THe projectile has to satisfies two condition
(1) Travel a range of 100 m
(2) able to clear the wall (maximum height) of 10 m
Range , $\displaystyle R =\frac{u^2\sin 2\theta}{g}$
$\displaystyle 100=\frac{36^2\sin 2\theta}{10}$
$\displaystyle \theta=25.25^o$
Now maximum height , $\displaystyle H = \frac{u^2\sin^2 \theta}{2g}$
$\displaystyle 10=\frac{36^2\sin^2 \theta}{20}$
$\displaystyle
\theta= 23.13^o
$
I don understand what it means by between 2 angles .. but the angle should be > 25.25 .