A projectile is shot from the ground at a velocity of #8 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
To do this, we recognize that when the object lands (assuming it launches and lands at the same height), its height
to find this time. For this equation,

#Deltay# is the change in height (#0# ) 
#v_0# is the initial speed (#8# #"m/s"# ) 
#alpha_0# is the launch angle (#(7pi)/12# ) 
#g# is the acceleration due to gravity near earth's surface (#9.81# #"m/s"^2# ) 
#t# is the time (what we're trying to find)
Plugging in known quantities: