Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

An object starts from rest and moves along the x axis as shown in this plot of position vs time.

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Determine the following:

1			Position at t = 14.0 s Need a Hint?
2			Distance traveled during the first 14.0 s Need a Hint?
3			Displacement during the time interval t = 4.00 s to t = 16.0 s Need a Hint?
4			Distance traveled during the time interval t = 4.00 s to t = 16.0 s Need a Hint?
5			Average velocity during the last 12.0 s Need a Hint?
6			Average velocity for the entire trip Need a Hint?
7			Average speed during the last 12.0 s Need a Hint?
8			Average speed for the entire trip Need a Hint?
9			Instantaneous velocity at t = 14.0 s Need a Hint?
10			Instantaneous speed at t = 14.0 s Need a Hint?
11			Acceleration at t = 6.00 s Need a Hint?
12			Acceleration during the first 4.00 s Need a Hint?

An expression for the position of an object traveling along the x-axis is

13			The position of the object at t = 2.00 Need a Hint?
14			The displacement of the object during the time interval t = 2.00 s to t = 4.00 s Need a Hint?
15			The distance traveled by the object during the first 3.00 s Need a Hint?
16			Instantaneous velocity of the object at t = 2.00 s Need a Hint?
17			Instantaneous speed of the object at t = 2.00 s Need a Hint?
18			Average velocity of the object during the time interval t = 2.00 s to t = 4.00 s Need a Hint?
19			Average speed of the object during the first 3.00 s Need a Hint?
20			Acceleration of the object at all times Need a Hint?

A hot-air balloon released from the ground at t = 0 s accelerates upward at the rate of 0.100 m/s². When it is at an altitude of 100 m, a camera is accidentally dropped overboard. Determine the following:

21			The velocity of the balloon when the camera is dropped Need a Hint?
22			The upward change in displacement of the camera after it is dropped Need a Hint?
23			The time the camera travels upward after it is dropped Need a Hint?
24			The acceleration of the camera at the top of its trajectory Need a Hint?
25			The time it takes the camera to hit the ground after it is dropped Need a Hint?
26			The impact velocity of the camera Need a Hint?

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M₁ = M₂ = M₃ = 100 kg, θ = 30.0°, |F| = 100N

27			The net force on the system (M1, M2 and M3) in the +x direction Need a Hint?
28			The acceleration of the system Need a Hint?
29			Tension in string 1 Need a Hint?
30			Tension in string 2 Need a Hint?

A 70.0-kg man is standing on an ordinary bathroom scale (calibrated in N) in an elevator. The elevator is designed to cruise at 4.00 m/s, stop in 2.00 m, and accelerate to its cruising speed in 3.00 m.

31			The scale reading when the elevator is cruising up or down at 4.00 m/s Need a Hint?
32			The scale reading as the elevator accelerates upward to the cruising speed Need a Hint?
33			The scale reading as the elevator accelerates downward to the cruising speed Need a Hint?
34			The scale reading as the elevator decelerates to a stop while traveling upward Need a Hint?
35			The scale reading as the elevator decelerates to a stop while traveling downward Need a Hint?