A projectile is shot from the ground at a velocity of #12 m/s# and at an angle of #(7pi)/12#. How long will it take for the projectile to land?
1 Answer
Explanation:
We're asked to find the time when the projectile lands when it is launched with a known initial velocity. We need to find the time
We can use the equation
to find this. Our known quantities are

#Deltay# must be#0# , because we're trying to find the time when this occurs. 
to find the initial
#y# velocity#v_(0y)# , we can use the equation#v_(0y) = v_ysinalpha# , so#v_(0y) = 12"m"/"s"sin((7pi)/12) = 11.6"m"/"s"# 
#g# , the acceleration due to gravity near Earth's surface, is#9.8"m"/("s"^2)#
If we make
Therefore,
The projectile will land after