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A cannon on a train car fires a projectile to the right
Chapter 4, Problem 84CP(choose chapter or problem)
Problem 84CP
A cannon on a train car fires a projectile to the right with speed v0, relative to the train, from a barrel elevated at angle θ. The cannon fires just as the train, which had been causing to the right along a level track with speed vtrain, begins to accelerate with acceleration a. Find an expression for the angle at which the projectile should be fired so that it lands as far as possible from the cannon. You can ignore the small height of the cannon above the track.
Questions & Answers
QUESTION:
Problem 84CP
A cannon on a train car fires a projectile to the right with speed v0, relative to the train, from a barrel elevated at angle θ. The cannon fires just as the train, which had been causing to the right along a level track with speed vtrain, begins to accelerate with acceleration a. Find an expression for the angle at which the projectile should be fired so that it lands as far as possible from the cannon. You can ignore the small height of the cannon above the track.
ANSWER:
Solution 84 CP
Step 1 of 5
We are required to derive the expression for the angle at which the projectile should be fired