Problem Statement: You decide you are done with physics class and you run awayto join a traveling circus. The circus is putting on a new act which involves launchingsomeone out of a cannon, “the human cannonball," however, the cannon is mountedatop a moving train. The human cannonball will be launched in front of the trainfrom atop the train. Just before landing in harms way, a trapeze artist will swoop thecannonball up before they are hit by the train. The ring mistress of the circus learnsthat you studied physics and decides she wants you to do some calculations for thesafety of the human cannonball. You can't seem to escape your physics class even inthe circus.Suppose the human cannonball is launched with speed vo and launch angle 0. At themoment they launch, the train which had been moving with speed Vtrain, begins toaccelerate with acceleration a.NOTE: This problem involves understanding relative motion between the ground'sstationary reference frame and the train's moving frame.a. Sketch the physical situation and label your sketch with appropriate quantities fromthe problem statement. Choose an appropriate coordinate system. Make a table ofknown/given information and unknown/wanted information (this may involvereading the rest of the problem before starting). List any physical assumptions you areusing to solve the problem.b. Determine symbolic expressions for the x and y components of the of thecannonball's velocity in the ground "stationary" reference frame and the total time offlight for the cannonball. c. Use the result form part b, and your knowledge of kinematics, to determine thehorizontal distance that the projectile travels and the distance the train travels in thattime. Given this, what is the range of the human cannonball (i.e. the distance awayfrom the train that the human cannonball will land)?d. Determine an expression for the angle at which the human cannonball should befired such that they land as far as possible away from the accelerating train. (Hint:some calculus is involved in this step. From your calculus classes, how do youmaximize a quantity?)e. Assess the validity of your work in the following ways:1) Does your expression have the correct physical units?2) What is the maximal range of a projectile in a stationary frame (do not calculatethis, it's in the book)? Check some limiting cases such as when a < 0, a > 0, anda = 0? Compare to the stationary frame. Do the results make sense?

Name: Problem Statement: You decide you are done with physics class and you
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Problem Statement: You decide you are done with physics class and you run awayto join a traveling circus. The circus is putting on a new act which involves launchingsomeone out of a cannon, “the human cannonball," however, the cannon is mountedatop