**Problem Statement:** You decide you are done with physics class and you run away to join a traveling circus. The circus is putting on a new act which involves launching someone out of a cannon, “the human cannonball,” however, the cannon is mounted atop a moving train. The human cannonball will be launched in front of the train from atop the train. Just before landing in harm's way, a trapeze artist will swoop the cannonball up before they are hit by the train. The ring mistress of the circus learns that you studied physics and decides she wants you to do some calculations for the safety of the human cannonball. You can’t seem to escape your physics class even in the circus.Suppose the human cannonball is launched with speed \( v_0 \) and launch angle \( \theta \). At the moment they launch, the train which had been moving with speed \( v_{train} \), begins to accelerate with acceleration \( a \).**NOTE:** This problem involves understanding relative motion between the ground’s stationary reference frame and the train’s moving frame.a. Sketch the physical situation and label your sketch with appropriate quantities from the problem statement. Choose an appropriate coordinate system. Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). List any physical assumptions you are using to solve the problem.b. Determine **symbolic expressions** for the x and y components of the cannonball’s velocity in the ground “stationary” reference frame and the total time of flight for the cannonball. c. Use the result from part b, and your knowledge of kinematics, to determine the horizontal distance that the projectile travels and the distance the train travels in that time. Given this, what is the range of the human cannonball (i.e. the distance away from the train that the human cannonball will land)?d. Determine an expression for the angle at which the human cannonball should be fired 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 you maximize 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 calculate this, *it's in the book*)? Check some limiting cases such as when \( a < 0 \), \( a > 0 \), and \( a = 0 \)? Compare to the stationary frame. Do the results make sense?

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