Mr. Kovall's Neighborhood 

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Curvilinear Motion – Projectiles Short Answer Problems

 

  1. Contrast and compare the “striking” velocity of each of the following.  You must have three similarities and three differences.  Include a labeled diagram:
    1. Object “A” thrown off the roof of a building with a horizontal velocity.
    2. Object “B” dropped vertically off the same roof.

 

  1. Which arrow would hit the ground first:
    1. Object “A” shot horizontally off a cliff with a velocity of 20 m/sec.
    2. Object “B” shot horizontally off that cliff with a velocity of 40 m/sec.

Explain in detail, including a labeled diagram.

 

  1. Contrast and compare the effect that “angle theta” and “velocity” have on the range obtained by a projectile that lands at the same elevation from which it was projected.  Include a labeled diagram.

 

  1. When throwing a baseball to home plate from the outfield, the fielder never throws the ball horizontally.  Explain in detail, including a labeled diagram.

 

  1. What effect does reducing the velocity by one-fourth for a projectile shot at the same angle have on:
    1. The range?
    2. The time of flight?

 

  1. Demonstrate the effect of doubling Vo on the height, range, and time of flight attained by a projectile.

 

  1. Demonstrate mathematically the angle theta necessary to produce maximum range for a projectile.  Also, solve for the range of this projectile, when the angle becomes greater than and then less than this optimum value.

 

  1. Contrast and compare the total horizontal distance traveled for a stone that is thrown upward at a given angle from the top of a tall building, with that traveled by a stone thrown horizontally with the same velocity from the top of the same building.

 

  1. Contrast and compare the final velocity of an object that is thrown upward at an angle from the top of a tall building with its counterpart that is thrown out horizontally from the top of the same building.

 

  1. Contrast and compare the final velocity of an object that is thrown downward at an angle from the top of a tall building with its counterpart that is thrown upward at the same angle from the top of the same building.

 

  1. Two projectiles are thrown twice from the same angle of elevation.  Object “A” has a mass of 34 kg and is thrown with a velocity of 54 m/sec the first time and 35 m/sec the second time.  Object “B” has a mass of 22 kg ad is thrown with a velocity of 74 m/sec the first time and 93 m/sec the second time.  Which one will experience the GREATEST CHANGE in RANGE if they both return to the original elevation of projection?

  12.  Suppose you and another student are playing catch with a ball.  He throws the ball at an angle of 35° and you catch it while standing at the same elevation as the other student.  Is it possible for you to throw the ball back to the other student with the same velocity but at a different angle so that the other student coulc catch it?  If so, at what angle would you throw the ball?  Show all work.

  13.  Wiley Cayote is again chasing Road Runner.  This time Wiley is running along the rim of a canyon while Road Runner is in the canyon, directly below Wiley, at the same instant that Wiley leaves the top of the cliff.  If Wiley is to land at the same spot as Road Runner, at the base of the cliff, what must be the relationship of Wiley's velocity with respect to that of Road Runner?  Explain mathematically.

  14.  A package is dropped out of a cargo plane while it is in level flight.  Neglecting air resistance, how does the motion of the package appear to the pilot?  Include a labeled diagram with your explanation.

  15.