Jesse James and his gang are planning to rob the train canying the payroll from the Lost...

Jesse James and his gang are planning to rob the train canying the payroll from the Lost Gulch mine. A Wells Fargo guard on the train spots Jesse astride his horse at a perpendicular distance of 0.300 km from the train tracks. The train is moving at 25.0 m/s on a straight track. The guard wants to frighten J esse and the desperadoes away by shooting a hole in Jesse's ten-gallon hat, which happens to be at the same height as the guard's gun (see the figure). The muzzle velocity of the guard's gun is 0.850 km/s. Ignore air resistance, (a) Should he aim the gun directly at Jesse's hat, in front of the hat, or behind the hat? Explain, (b) Unsure of the conect angle to aim the gun, the guard decides to aim his gun at a right angle to the track and fire the bullet a little before the time when he will be directly opposite to Jesse. At what distance before the point where the guard is directly opposite Jesse James should the guard fire? (c) Does the guard need to worry about the force of gravity on the bullet? If so, how far above the hat should he aim?