### Problem Statement:Calculate the magnitude of the largest normal acceleration that occurs anywhere on the track.**Answer:** \( a_n = \) [________] m/s² **Problem Statement:**A sprinter practicing for the 200-meter dash accelerates uniformly from rest at point A and reaches a top speed of 40 km/h at the 53-meter mark. He then maintains this speed for the next 79 meters before uniformly slowing to a final speed of 33 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur?**Diagram Explanation:**The diagram provided illustrates an overhead view of a 200-meter track. The start point is labeled as "A" and is situated at the beginning of the bottom-left curve. The finish line is marked, and the total length of the track is indicated to be 200 meters in a rectangle form with two circular ends (semicircles). A segment of the track is given as 39.9 meters on the top right portion, representing the curved portion of the track.- **Point A:** The start point of the run.- **Finish Line:** The end point of the run.- **53-meter mark:** The point where the sprinter reaches the maximum speed of 40 km/h.- **79 meters next:** The distance over which the sprinter maintains the top speed.- **Final speed:** The sprinter decelerates uniformly to reach a speed of 33 km/h at the finish line.The diagram shows the track layout, and arrows indicate the direction of the sprinter’s movement. The key elements to focus on are the changes in speed and the positions at which these changes occur. These details are crucial for calculating the maximum horizontal acceleration.

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A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 40 km/h at the 53-m mark. He then maintains this speed for the next 79 meters before uniformly slowing to a final speed of 33 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur? Finish line 39.9 m

A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 40 km/h at the 53-m mark. He then maintains this speed for the next 79 meters before uniformly slowing to a final speed of 33 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur? Finish line 39.9 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

### Problem Statement:

Calculate the magnitude of the largest normal acceleration that occurs anywhere on the track.

**Answer:** \( a_n = \) [________] m/s²

**Problem Statement:**

A sprinter practicing for the 200-meter dash accelerates uniformly from rest at point A and reaches a top speed of 40 km/h at the 53-meter mark. He then maintains this speed for the next 79 meters before uniformly slowing to a final speed of 33 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur?

**Diagram Explanation:**

The diagram provided illustrates an overhead view of a 200-meter track. The start point is labeled as "A" and is situated at the beginning of the bottom-left curve. The finish line is marked, and the total length of the track is indicated to be 200 meters in a rectangle form with two circular ends (semicircles). A segment of the track is given as 39.9 meters on the top right portion, representing the curved portion of the track.

- **Point A:** The start point of the run.
- **Finish Line:** The end point of the run.
- **53-meter mark:** The point where the sprinter reaches the maximum speed of 40 km/h.
- **79 meters next:** The distance over which the sprinter maintains the top speed.
- **Final speed:** The sprinter decelerates uniformly to reach a speed of 33 km/h at the finish line.

The diagram shows the track layout, and arrows indicate the direction of the sprinter’s movement. The key elements to focus on are the changes in speed and the positions at which these changes occur. These details are crucial for calculating the maximum horizontal acceleration.

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