# A projectile is shot at an angle of pi/12  and a velocity of 3 m/s. How far away will the projectile land?

Oct 14, 2016

x_("max")=0.46 " m"

$\text{rounded to the two decimal place.}$

#### Explanation:

x_("max"):"maximum value of x"

${x}_{\text{max}} = \frac{{v}_{i}^{2} \cdot \sin \left(2 \alpha\right)}{g}$

${v}_{i} : \text{initial velocity ;"v_i=3" } \frac{m}{s}$

$\alpha = \frac{\pi}{12} \text{ ; } 2 \cdot \alpha = 2 \cdot \frac{\pi}{12} = \frac{\pi}{6}$

$\sin \left(\frac{\pi}{6}\right) = 0.5$

${x}_{\text{max}} = \frac{{3}^{2} \cdot 0.5}{9.18}$

${x}_{\text{max}} = \frac{4.5}{9.81}$

x_("max")=0.46 " m"