Calculating Arrow Flight Time: Solving for Distance and Angle

[Joza]

If an arrow is shot at an angle 45 to the horizontal, and lands in the ground a distance(same height as it was shot) 100m away, is it possible to work out the time taken? I can't figure it out...I have been messing around with equations, but because we don't have an initial velocity I can't get it.


Any ideas?

 

[Doc Al]

Assuming you can ignore the complications of air resistance, you should be able to figure it out. Hint: Write separate equations for vertical and horizontal position as a function of time. Then solve them together, making use of the given information. (You don't need to know the initial velocity--just call it "v".)

 

[Joza]

Cheers for the input

I don't know how I didn't realize it was that simple!