Tamara rides her bike around her neighborhood.For the first minute, she speeds up rapidly.For the next 4 minutes, she goes a constant speed.For the next 1 minute, she speeds up more.For the next 2 minutes, she goes a new constant speed.For the next 2 minutes, she slows down.For the last 2 minutes, she slows down more and eventually stops.Think about how the different parts of Tamara's trip relate to kinetic energy.Study the graph and then answer the questions.

Answer 1

To analyze Tamara's bike ride in relation to kinetic energy (KE), we can consider the relationship between speed and kinetic energy. Kinetic energy is given by the formula:

\[ KE = \frac{1}{2} m v^2 \]

Where:

• \( m \) is the mass of the object (in this case, Tamara and her bike),
• \( v \) is the speed.

Analyzing Each Segment of the Trip

1. First Minute (Rapid Acceleration):

   • During this time, Tamara increases her speed quickly. As her speed increases, her kinetic energy also increases.

2. Next 4 Minutes (Constant Speed):

   • For these 4 minutes, her speed remains constant. Therefore, her kinetic energy remains constant as well since speed does not change.

3. Next Minute (Further Acceleration):

   • In this segment, she speeds up again. Her kinetic energy increases as her speed increases.

4. Next 2 Minutes (New Constant Speed):

   • Here, she maintains another constant speed. Again, her kinetic energy is stable during this time as speed doesn’t change.

5. Next 2 Minutes (Slowing Down):

   • Tamara starts to slow down. As her speed decreases, her kinetic energy decreases as well.

6. Final 2 Minutes (More Slowing and Stopping):

   • In this last segment, she continues to slow down and eventually comes to a stop. Her kinetic energy continues to decrease until it reaches zero when she stops.

Summary of Kinetic Energy Throughout the Trip:

• Increase in Kinetic Energy: In the segments where Tamara speeds up (first minute and after 5 minutes).
• Constant Kinetic Energy: In the segments where her speed is constant (next 4 minutes and during the last 2 minutes at a new constant speed).
• Decrease in Kinetic Energy: In the segments where she slows down (last 2 minutes).

Conclusion:

Understanding the relationship between speed and kinetic energy can help us analyze Tamara's bike ride effectively. Whenever she speeds up, her kinetic energy increases; when she maintains a constant speed, her kinetic energy stays the same, and when she slows down, her kinetic energy decreases.

Answer 2

a. In which section or sections is the bike's kinetic energy increasing? You might need to choose more than one answer.

section A

section B

section C

section section D

section E

section F

Answer 3

Based on your description of Tamara's bike ride, the sections of the ride can be categorized as follows regarding the increase in kinetic energy:

• Section A (First Minute: Rapid Acceleration): Increasing Kinetic Energy (She speeds up rapidly.)

• Section B (Next 4 Minutes: Constant Speed): Not Increasing Kinetic Energy (Speed is constant.)

• Section C (Next Minute: Further Acceleration): Increasing Kinetic Energy (She speeds up again.)

• Section D (Next 2 Minutes: New Constant Speed): Not Increasing Kinetic Energy (Speed is constant.)

• Section E (Next 2 Minutes: Slowing Down): Not Increasing Kinetic Energy (She slows down.)

• Section F (Final 2 Minutes: More Slowing and Stopping): Not Increasing Kinetic Energy (She continues to slow down until she stops.)

Conclusion:

The sections where the bike's kinetic energy is increasing are Section A and Section C.

Answer 4

b. In which section does the bike have the highest constant kinetic energy?(1 point)

Answer 5

To determine in which section the bike has the highest constant kinetic energy, we need to identify the sections where Tamara is riding at a constant speed.

From your previous description, the relevant sections are:

• Section B (Next 4 Minutes: Constant Speed): This section has a constant speed, but we do not know the speed yet.

• Section D (Next 2 Minutes: New Constant Speed): This section also has a constant speed but is at a new speed which is presumably higher than in Section B.

Since Section D follows Section C (where she last accelerated) and represents a new constant speed, it is likely that the speed at this point would be higher than her constant speed in Section B.

Conclusion:

The bike has the highest constant kinetic energy in Section D.

Answer 6

c. Describe the bike's motion in section E.(1 point)

Answer 7

In Section E, Tamara is beginning to slow down while riding her bike. This section lasts for 2 minutes, during which her speed is decreasing.

Description of the Bike's Motion in Section E:

• Slowing Down: Tamara reduces her speed compared to the previous section where she maintained a higher constant speed.
• Decrease in Kinetic Energy: As she slows down, her kinetic energy is also decreasing because kinetic energy is directly related to the square of her speed.
• Gradual Change: The slowing down occurs over the entire 2 minutes, indicating a gradual change rather than an abrupt stop.

Overall, during Section E, Tamara experiences a reduction in speed and, consequently, a decrease in kinetic energy as she prepares to stop.

Answer 8

What is similar about section E and section F?

Answer 9

Sections E and F of Tamara's bike ride share several similarities:

1. Deceleration: Both sections involve Tamara slowing down. In Section E, she begins to reduce her speed, and in Section F, she continues to slow down and eventually comes to a stop.

2. Decrease in Kinetic Energy: In both sections, as Tamara reduces her speed, her kinetic energy decreases. This is consistent throughout the motion as kinetic energy is dependent on speed.

3. Duration: Both sections occur over a specific time frame (2 minutes each). They are sequential parts of the ride that focus on the gradual reduction of speed.

4. Intent to Stop: Both sections indicate a transition towards stopping. While Section E involves a more gradual slow down, Section F leads to her coming to a complete stop.

Summary:

Overall, Sections E and F are similar in that both involve the act of slowing down, result in a decrease in kinetic energy, and are part of the final phases of her bike ride as she approaches a stop.

Answer 10

the answers to choose from are:

The kinetic energy is increasing.

The kinetic energy is increasing.

The kinetic energy is decreasing.

The kinetic energy is decreasing.

The kinetic energy is staying the same.

The kinetic energy is staying the same.

The kinetic energy goes down and then up.

Answer 11

Given the options provided, the similarities between Section E and Section F can be summarized as:

The kinetic energy is decreasing.

This choice applies to both sections since Tamara is slowing down in both E and F, resulting in a reduction of her kinetic energy throughout those segments.