A projectile is shot from the ground at a velocity of #4 m/s# and at an angle of #(5pi)/6#. How long will it take for the projectile to land?
1 Answer
Explanation:
We're asked to find the time
When the particle lands, its height will be
where

#Deltay# is the height (#0# ) 
#v_(0y)# is the initial#y# velocity, equal to
#v_(0y) = v_0sinalpha_0 = (4color(white)(l)"m/s")sin((5pi)/6) = 2# #"m/s"#

#t# is the time (what we're trying to find) 
#g# is the acceleration due to gravity near earth's surface,#9.81# #"m/s"^2#
Plugging in known values, we have