Speed - Revision history

Kquillian: /* Graph Interpretation */

2025-12-03T00:23:46Z

Graph Interpretation

← Older revision		Revision as of 20:23, 2 December 2025
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	* Downward slope <math>\rightarrow</math> slowing down		* Downward slope <math>\rightarrow</math> slowing down
	* Area under graph <math>\rightarrow</math> distance		* Area under graph <math>\rightarrow</math> distance

	~~[[File:Speed vs. time.png\|center\|400px]]~~


	Distance vs. Time Graph		Distance vs. Time Graph

2025-12-03T00:22:57Z

Graph Interpretation

← Older revision		Revision as of 20:22, 2 December 2025
Line 118:		Line 118:
	* Downward slope <math>\rightarrow</math> slowing down		* Downward slope <math>\rightarrow</math> slowing down
	* Area under graph <math>\rightarrow</math> distance		* Area under graph <math>\rightarrow</math> distance

			[[File:Speed vs. time.png\|center\|400px]]


	Distance vs. Time Graph		Distance vs. Time Graph

2025-12-02T23:28:52Z

References

← Older revision		Revision as of 19:28, 2 December 2025
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	[[Category:Properties of Matter]]		[[Category:Properties of Matter]]

			2. Serway, Raymond A., and John W. Jewett. Physics for Scientists and Engineers. Cengage Learning, 2018.

			3. Khan Academy. "Average Speed and Velocity." https://www.khanacademy.org/

			4. The Physics Classroom. “Speed and Velocity.” https://www.physicsclassroom.com/class/1DKin

2025-12-02T23:23:13Z

A Mathematical Model

← Older revision		Revision as of 19:23, 2 December 2025
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	This shows how speed connects acceleration and position.		This shows how speed connects acceleration and position.

			===== Graph Interpretation =====

			Speed vs. Time Graph

			* Flat line <math>\rightarrow</math> constant speed
			* Upward slipe <math>\rightarrow</math> accelerating
			* Downward slope <math>\rightarrow</math> slowing down
			* Area under graph <math>\rightarrow</math> distance

			Distance vs. Time Graph

			* Steep slope <math>\rightarrow</math> high speed
			* Zero slope <math>\rightarrow</math> object is still
			* Curved graph <math>\rightarrow</math> changing speed

	===Common Misconceptions===		===Common Misconceptions===

2025-12-02T23:18:56Z

Simple

2025-12-02T23:18:37Z

Simple

← Older revision		Revision as of 19:18, 2 December 2025
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	===Simple===		===Simple===

	A car starts at rest then accelerates so that its speed is <math>v(t)=4t</math>. Find the distance traveled in the first 5 seconds.		1. A car starts at rest then accelerates so that its speed is <math>v(t)=4t</math>. Find the distance traveled in the first 5 seconds.

	Solution:		Solution:
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	</math>		</math>

	So the distance traveled is ~~'''~~50 m~~'''~~.		So the distance traveled is 50 m.

	A runner runs at a circular track with radius 100m. The runner runs 3 laps in 250s at a constant speed. What is the speed of the runner?
			2. A runner runs at a circular track with radius 100m. The runner runs 3 laps in 250s at a constant speed. What is the speed of the runner?

	Solution:		Solution:

2025-12-02T23:18:01Z

Simple

← Older revision		Revision as of 19:18, 2 December 2025
Line 132:		Line 132:
	===Simple===		===Simple===

	A car starts at rest then accelerates so that its speed is math>v(t)=4t</math>. Find the distance traveled in the first 5 seconds.		A car starts at rest then accelerates so that its speed is <math>v(t)=4t</math>. Find the distance traveled in the first 5 seconds.

	Solution:		Solution:

2025-12-02T23:17:42Z

Simple

2025-12-02T23:17:15Z

Examples

← Older revision		Revision as of 19:17, 2 December 2025
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	===Simple===		===Simple===

			A car starts at rest then accelerates so that its speed is math>v(t)=4t</math>. Find the distance traveled in the first 5 seconds.

			Solution:

			s = \int_0^5 4t\, dt
			= 4\left[\frac{t^2}{2}\right]_0^5
			= 2(25)
			= 50 \text{ m}
			</math>

			So the distance traveled is '''50 m'''.

	A runner runs at a circular track with radius 100m. The runner runs 3 laps in 250s at a constant speed. What is the speed of the runner?		A runner runs at a circular track with radius 100m. The runner runs 3 laps in 250s at a constant speed. What is the speed of the runner?

2025-12-02T23:13:04Z

Units and Conversions