Help with velocity vs, time graph

In summary, the velocity vs. time graph for Tommy's car would show a flat line at 0 velocity when he is waiting at the traffic light, a diagonal line with a positive slope when he accelerates, a straight line at a constant positive velocity when he is traveling at the speed limit, a diagonal line with a negative slope when he decelerates, and then another flat line at 0 velocity when he stops at the red light.
  • #1
madeeeeee
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Homework Statement


Draw a velocity vs. Time graph Please I REALLY need HELP!?
7. Sketch a velocity versus time graph of Tommy in his car for the following situation. [5]

• He is waiting at a traffic light.
• He accelerates up to the speed limit.
• Travels at the speed limit for a while.
• Decelerates when he sees a red light.
• Stops at the light for a while.


Homework Equations


There are no equations


The Attempt at a Solution



I don't know how to draw this!
I need help
please!
 
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  • #2
Okay, so if he is waiting at a traffic light, his velocity should=0. Time is still passing, so its a straight line but it sits on top of the x-axis (y=0). When he accelerates, his velocity will raise over time, so that's a positive diagonal line. Now he is cruising at a constant velocity. That's a straight line at some positive value of y. When he decelerates, the line goes downwards (make a negative slope) and it will eventually hit zero, where it will just go along the x-axis again.
 
  • #3


Don't worry, I can help you with this! Drawing a velocity versus time graph can be a bit tricky, but once you understand the concept, it will become easier. First, let's understand what a velocity versus time graph represents. It shows the relationship between an object's velocity (speed and direction) and time. The slope of the graph represents the object's acceleration, while the area under the curve represents the distance traveled.

Now, let's apply this to Tommy's situation. Since he is waiting at a traffic light, his velocity is zero. This means that the graph will start at the origin (0,0). As he accelerates up to the speed limit, his velocity will increase at a steady rate. This will result in a straight, diagonal line on the graph with a positive slope. Once he reaches the speed limit, the line will become horizontal, indicating that he is traveling at a constant velocity.

When Tommy sees a red light and begins to decelerate, the line will start to slope downwards. This means that his velocity is decreasing. Once he comes to a stop at the light, the line will become horizontal again, indicating that his velocity is now zero.

To summarize, the graph will have three sections: a diagonal line for acceleration, a horizontal line for constant velocity, and a diagonal line for deceleration. It should look something like this:

[insert graph]

I hope this helps you understand how to draw a velocity versus time graph. Remember, the key is to understand the concept and apply it to the situation given. Good luck with your homework!
 

What is a velocity vs. time graph?

A velocity vs. time graph is a visual representation of an object's velocity over a period of time. It plots the velocity on the y-axis and time on the x-axis, and the slope of the line represents the object's acceleration.

How do you interpret a velocity vs. time graph?

The slope of a velocity vs. time graph represents the object's acceleration. A steeper slope indicates a higher acceleration, while a flatter slope indicates a lower acceleration. Additionally, the area under the curve represents the distance traveled by the object.

How can you determine the velocity from a velocity vs. time graph?

The velocity at any given time can be determined by finding the slope of the line at that specific point. This can be done by drawing a tangent line at that point and calculating the slope of that line.

What does a horizontal line on a velocity vs. time graph mean?

A horizontal line on a velocity vs. time graph represents a constant velocity. This means that the object is not accelerating and is moving at a constant speed.

How can you use a velocity vs. time graph to calculate acceleration?

The acceleration can be calculated by finding the slope of the line on the velocity vs. time graph. This can be done by dividing the change in velocity by the change in time. The units for acceleration are typically meters per second squared (m/s^2).

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