# A projectile is shot from the ground at a velocity of 6 m/s and at an angle of (7pi)/12. How long will it take for the projectile to land?

Feb 13, 2016

${t}_{e} \cong 1 , 182 s$
${t}_{e} : \text{ time elapsed ; " v_i: "initial velocity ; "alpha:"angle}$
${t}_{e} = \frac{2 \cdot {v}_{i} \cdot \sin \alpha}{g}$
$\alpha = \frac{7 \pi}{12} \cdot \frac{180}{\pi} = {105}^{o}$
$\sin 105 = \sin 75 = 0 , 966 \text{ g:9,81}$
${t}_{e} = \frac{2 \cdot 6 \cdot 0 , 966}{9 , 81}$
${t}_{e} \cong 1 , 182 s$