Thursday, May 1, 2014

Phresman Practice Problems Due Monday

Do the problems in your notebook discuss the answers on the Blog.  You can check your answers online to see if you get them correct but be sure to discuss the solutions.

  1. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.
  2. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

     
  3. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity and how far will he fall?
  4. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.
  5. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.
  6. Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the acceleration and what is the distance that the sled travels?
  7. A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.
  8. An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

        
  9. A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration).
  10. A kangaroo is capable of jumping to a height of 2.62 m. Determine the takeoff speed of the kangaroo. 


Answers:
  1. See solution below.   
  2. See solution below.
  3. See solution below. 
  4. See solution below.
  5.  See solution below.  
  6. See solution below. 
  7. See solution below. 
  8. See solution below.   
  9. See solution below.

7 comments:

  1. Mr. Crane, you told our class to do the questions on hang time and jump velocity. Should we do these as well or no?

    Matt Epstein Mod 4

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    Replies
    1. Yes. At the beginning of the period I assigned these questions. You should have finished your lab calculations in class.

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  2. Number 10 is just like the Freshman can't Jump Lab. It is about Jump Velocity
    - Neil Patel Mod 7

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  3. This comment has been removed by the author.

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  4. To find the final velocity, such as in problem #3, the formula used in the solution is vf = vi + a*t, but you gave us vf^2 = vi^2 + 2a(change in p) so I got 12.7 m/s as my final velocity
    Beth McNamee Mod 4

    ReplyDelete
    Replies
    1. I attempted to do the problem this way too and couldn't get the correct solution either.

      Delete
    2. Number 3 gives you the time, so you don't need to use Vf^2 = Vo^2 + 2a delta p. The problem doesn't give you a distance, so you can't use the formula.
      This is a more drawn out way to solve the problem.
      If velocity is increasing by (about) 10 m/s every second, and it is increasing for (about) 2.5 seconds, the final velocity would be 10 m/s after one second, 20 m/s after two seconds, and 25 m/s after 2.5 seconds for a rough answer.
      If velocity increases by 25 m/s after 2.5 seconds, then it increases by 1 m/s every .1 seconds. Using the given 2.6 seconds, your final answer would be 26 m/s. Because a = 9.8 and not 10, the difference is .2/10 or 2/100. Two percent of 25 m/s would be .5 m/s, so if you subtract this from 26, you get the final answer of 25.5 m/s.
      -Kevin Meglathery

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