Equations of Motion – The Physics Hypertextbook
In a physics equation, given a constant acceleration and the change in velocity of an object, you can figure out both the time involved and the distance traveled. Here's a word equation that expresses the relationship between distance, velocity and time: Velocity equals distance travelled divided by the time it takes to get. where d is distance traveled in a certain amount of time (t), v is starting velocity, a is acceleration (must be constant), and t is time. This gives you the distance.
If you know any 3 of those things, you can plug them in to solve for the 4th. So if you only know v and d, you can't solve for a unless you also know what t is i. The answer given to this question is incorrect. The original answer apparently assumed that the velocity you knew was only the initial one. In that case that answer is correct as stands. You seem to assume we know both the initial and final velocities. So of course if you know two velocities you know more than if you just know one. In the formula for distance: How do you calculate for distance then?
You'll have to specify this a little more before we can answer. Is there constant acceleration until that velocity is reached, then the acceleration stops? If so, I bet you could solve it yourself. Or is there, more plausibly, one of these other situations which also lead to limiting velocities: Move longer as in longer time. Acceleration compounds this simple situation since velocity is now also directly proportional to time. Try saying this in words and it sounds ridiculous.
Would that it were so simple. This example only works when initial velocity is zero.
Distance, Velocity and Time: Equations and Relationship
Displacement is proportional to the square of time when acceleration is constant and initial velocity is zero. A true general statement would have to take into account any initial velocity and how the velocity was changing. This results in a terribly messy proportionality statement. Displacement is directly proportional to time and proportional to the square of time when acceleration is constant.
A function that is both linear and square is said to be quadratic, which allows us to compact the previous statement considerably. Displacement is a quadratic function of time when acceleration is constant Proportionality statements are useful, but not as concise as equations. We still don't know what the constants of proportionality are for this problem. Plot the velocity of the slower car.
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Your first point should be at 0,20 cm because you are going to give it a cm head start. Your second point for the slow car is the velocity you measured. The X value should be whatever time it took for the car to reach the end of your test course, your Y value is the distance you had the car travel 1. Using your ruler and pencil, connect the two points to make a line.
What is the relationship between velocity and distance? | Socratic
Now, plot the velocity of the faster car. Your first point should be at 0,0 cm because this car will not get a head start. Your second point for the fast car is the velocity you measured. Using your ruler and pencil connect the two points to make another line.
Make this line look different than the first, either by making dashes or making it darker. Label the lines fast car and slow car.
What is the relationship between velocity and distance?
Find where the two lines cross. At this intersection point, trace one line to X axis, and another to the Y axis. These are the lines with arrows on diagram 1.
The two values you see are the time and distance where the fast car should overtake the slower car.