Answer the following questions thoroughly.
A skydiver jumps out of a hovering helicopter, so there is no forward velocity. Use this information to answer questions 1 to 9. Ignore wind resistance for this exercise.
1. What is the skydiver's acceleration? (2 points)
Initially, like any falling object, a skydiver's downward acceleration is 9.8 meters/seconds^2, or about 28-35 feet per second squared. This acceleration reduces over a few seconds and approaches zero as the skydiver reaches terminal velocity.
2. Just as the skydiver steps out of the helicopter, someone who's watching starts a stopwatch. So the time is zero as the skydiver steps out of the plane. What is the skydiver's downward velocity at that instant, just before starting to fall? (2 points)
The same as that of the aircraft that he /she is in. If flying level, it would be zero.
3. What is the skydiver's velocity after one second? Show your work and include direction. (3 points)
In two seconds, the velocity would be low enough that air resistance could probably be ignored for purposes of answering your homework.
So try 19.6 m/s, unless your teacher gave your data on the air resistance of the sky diver.
4. What is the skydiver's velocity after two seconds? Show your work and include direction. (3 points)
14.715 m/s.
This is worked out by knowing that gravity will accelerate a body at 9.81 (m/s)/s. The average velocity is the speed at 3s plus the speed at 0s divided by 2.
5. After three seconds, what is the skydiver's velocity? Show your work and include direction. (3 points)
After one second a body has fallen 36 feet. To convert to Miles Per hour I use the following: 36 x 60 seconds x 60 minutes divided by 5280 feet per mile, or 36 x 60 x 60 / 5280 = 24.545 Miles per hour.
6. Use the axes below to graph the skydiver's velocity. Remember that a negative velocity should be graphed below the X-axis. Be sure to include numerical and word labels, with units, for both axes. (2 points)
24.5m/s.
Velocity Versus Time
7. Look at your graph in the question above. Use your knowledge of the relationships among graphs. What shape would the Displacement Versus Time for this skydiver be? (3 points)
34.1m/s.
8. What is the skydiver's average velocity for the first 3 seconds? Show your work. (3 points)
14.715 m/s.
9. Is the skydiver increasing or decreasing his speed during the first 3 seconds? Explain your answer. (3 points)
Increasing.
Now let's look at a skydiver who jumps out of a plane that has a forward velocity of 40 m/s. That means that the skydiver has a forward velocity of 40 m/s. Use this information to answer the rest of the questions. Continue to ignore air resistance.
10. What is the skydiver's acceleration? (2 points)
20m/s.
11. Just as the skydiver steps out of the plane,
A. What is the skydiver's forward velocity? (2 points)
50.23m/s.
B. What is the skydiver's downward velocity? (2 points)
21m/s.
12. After 1 second,
A. What is the skydiver's forward velocity? (2 points)
25m/s.
B. What is the skydiver's downward velocity? (2 points)
26.32m/s.
13. After 2 seconds,
A. What is the skydiver's forward velocity? (2 points)
45.6m/s.
B. What is the skydiver's downward velocity? (2 points)
25.6m/s.
14. Use the axes below to graph, for the skydiver who jumps out of a plane,
A. The skydiver's downward velocity. Remember that a negative velocity should be graphed below the X-axis. Be sure to include numerical and word labels, with units, for both axes. (2 points)
12
Velocity Versus Time
B. The skydiver's forward velocity. Be sure to include units. (2 points)
Velocity Versus Time
15. What difference is there between the downward velocities of the skydiver who jumped out of the helicopter (with no forward velocity) and the one who jumped out of a plane (with a forward velocity of 40 m/s)? (2 points)
the velocity
16. Use the axes below to graph the Acceleration Versus Time graph for the plane-jumping skydiver's downward acceleration. Be sure to include units. (2 points)
12m/s.
Acceleration Versus Time
17. Describe the skydiver's forward acceleration. (2 point)increasing.
18. Give a qualitative description of the skydiver's motion after jumping out of the plane. (2 points) decreasing and then increasing.
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