How Do You Calculate the Initial Velocity of an Arrow?

[meadman]

An arrow with a mass of 90g is fired from a bow whose string exerts an average force of 125 N on the arrow over a distance of 74 cm.

so: m=90g=.090kg, F=125N, d=74cm=.74m

Then find the initial velocity of the arrow as it leaves the bow.
i can't seem to find the equation that would fit this problem any help or advice would be greatly appreciated

 

[rock.freak667]

Conservation of energy.

What is the work done by the bow on the arrow converted to?

 

[Delphi51]

The bow is like a spring, so if you have any spring formulas you could use them. If you could find the energy given to the arrow by the spring, you could then find the velocity. Or you could work with force and acceleration to get the velocity. Have a go and show your work so we can help!

 

[rl.bhat]

Force is given, mass is given. Find the acceleration. Arrow starts from rest and the accelerates till it travels through 0.74m.
What is relation between displacement, acceleration, initial velocity and final velocity?