# Speed & Velocity

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#### Storyboard Description

This storyboard is a story that teaches about speed and velocity.

#### Storyboard Text

• Scene 1:Speed
• That kid is running fast! Looks like he has a great running speed. That reminds me.... Hey Amy, I'll race you to the library on my bike.  You know I have a better speed than you.
• Got to get a better speed! Need to run at least 6 miles in 45 minutes!! That equals a speed of 3.58 meters per second.
• I doubt you'll beat me to the library. I'll prove to you I'm better.﻿
• ﻿Scene 2:Instantaneous Speed
• You are going FAST! I wonder what speed you are going at!?
• Thanks for the compliment! By the way, my instantaneous speed is 8.33 meters per second. I checked on my cyclometer.﻿
• Scene 3:Velocity
• That's it!! I'm changing my velocity.﻿
• How did you beat me?! In my cyclometer, I had a faster speed than you!﻿
• Jack and Amy are talking about having a bike race. Speed is the distance an object travels per unit of time. The SI unit for distance is meters and the SI unit for time is seconds So, speed is equal to the distance the object travels over the time it took for the object to travel that distance. For example, speed can be represented as 31 meters per second or 45 meters per second. So as an example, if you were trying to find the speed in (m/sec) of 120 meters in 2 seconds, you would divide 120 meters by 2 seconds to get 60 m/sec which is the speed.
• Jack and Amy are talking about having a bike race. Speed is the distance an object travels per unit of time. The SI unit for distance is meters and the SI unit for time is seconds So, speed is equal to the distance the object travels over the time it took for the object to travel that distance. For example, speed can be represented as 60 miles per hour or 45 m per second. So as an example, if you were trying to find the speed in (miles/sec) of 120 miles in 2 seconds, you would divide 120 miles by 2 seconds to get 60 miles/sec.
• Scene 4:Average Speed
• The Library﻿
• There was a shortcut to the library. You took the long route.
• ﻿Instantaneous speed is the current speed at which an object is going at.  A speedometer can show you your instantaneous speed. Also, cyclists use a device called a cyclometer to track their current or instantaneous speed.
• Scene 5:Graphing Speed
• ﻿Oh yeah!! We could show this tomorrow to our teacher Mr. Smith. Also, I recorded the distance I had per minute.
• The Library﻿
• My instantaneous speed is 6.9 meters per second.
• ﻿After doing this race, I realized that we could make a distance vs. time graph to portray our speeds. Time in minutes would be on our x-axis and the distance in meters would be on our y axis. But first, we both need to know each distance we traveled per minute.
• ﻿﻿Velocity is speed in a given direction or just speed and direction. Speed is like the magnitude of velocity. Velocity equals distance in direction over time. For example, velocity can be represented as 40 meters per second north direction or 20 meters per second south direction. Arrows are used to show velocity  and those are called vectors. Velocity can change if the speed or direction of an object changes. So, as you can see,  Amy went West while Jack went East. They both changed their velocity by changing their direction.
• ﻿Scene 6:Different Slopes
• ﻿Yesterday, we made a graph portraying our speeds when on a bike. We noticed that the slope changed a few times. What does this mean Mr. Smith??
• Amy beat Jack in the bike race to the library because she traveled a shorter distance. Average speed is the total distance an object traveled over the total time it took the object to travel that distance. Average speed is used when speed changes twice or more. So, as you can see, Jack biked a total of 4432 m in 10 minutes. So, Jack biked an average speed of 7.6 meter per second. Amy biked a total of 2100 meters in 5 minutes which equals an average speed of 7 meters per second. This means that both Amy and Jack didn't have constant speeds. Their speeds changed over time.
• Amy beat Jack in the bike race to the library because she traveled a shorter distance. Average speed is the total distance an object traveled over the total time it took the object to travel that distance. Average speed is used when speed changes twice or more. So, as you can see, Jack biked 30 km and 20 km which equals 50 km and he biked for 2 hours. So, Jack biked an average of 25 mph. Amy biked a total of 45 km in 2 hours which equals an average of 22.5 mph. Even though Jack had a faster speed, Amy had a shorter distance.
• OOOh!  That's why you won. By the way, I biked 10 minutes to get here and a distance of about 4,432 meters.  I biked an overall average speed of 460 meters per minute. That equals about an average speed of 7.6 meters per second.
• I biked a total of  2100 meters in 5 minutes. That means my average speed is 7 meters per second.
• ﻿ A distance versus time graph shows the motion and the speed of object(s). Distance (m) would be on your y-axis while time (sec or min) would be on your x-axis. Points on a graph represents the distance an object travel from a reference point. When you draw a line of best fit for your points on a graph, the steepness of the line represents the slope. Also, the line of best fit doesn't have to connect the points. The slope represents speed or distance / time. To calculate slope, you have to get the rise and run. So, for example, slope can be represented as 400 m / 2 sec = 200 m / 1 sec. ﻿
•  A distance versus time graph shows the motion and the speed of object(s). Distance (m) would be on your y-axis while time (sec) would be on your x-axis. Points on a graph represents the distance an object travel from a reference point. When you draw a line of best fit for your points on a graph, the steepness of the line represents the slope. The slope represents speed or distance / time. To calculate slope, you have to get the rise and run. So, for example, slope can be represented as 400 m / 2 sec = 200 m / 1 sec.
• ﻿Many objects do not have constant speeds. For example, if you were graphing the motion of a jogger and there is a horizontal line connecting some of the points, the horizontal line means that the jogger's distance hasn't changed. When a line gets steeper, it means that the object is increasing its speed therefore increasing its slope.
• This means that both of your speeds changed over time since slope represents speed. Also, this means that you both didn't have constant speeds.
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