Calculating Time of Flight for Artillery Shell

[streetracer14]

I am completely lost on this one; An artillery shell is fired at an angle of 85.1 degrees above the horizontal ground with an initial speed of 1960 m/s. The acceleration of gravity is 9.8 m/s/s. Find the total time of flight. Can someone do it and explain how to do it?? Thanks so much!

 

[Feldoh]

Do you know the kinematics equations?

If not you might want to read:http://en.wikipedia.org/wiki/Equations_of_motion

Over linear equations of motion

 

[mgb_phys]

The trick to these questions is that no forces act on the shell horizontally so it is equivalent to a shell fired vertically with a certain velocity.
You find the vertical componnet of the velocity by drawing a 'force triangle' if the shell goes at 1960m/s at that angle draw a triangle with this as the hypotonuse and the angle given in the question.