acceleration time graphs for uniform motion

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Question:Hello~ So I was wondering how you would graph uniform accelerated motion. I understand what the graph looks like when you graph acceleration versus time and velocity versus time. But what is the other way you graph it? And what equation do you use? Is it a = ( Vf - Vi ) / t and d = 1/2 ( Vf + Vi ) t ? So basically Is there any other way to graph? (with mini explination) I also found position versus time graph-- can anyone explain? Thanks~

Answers:The key word is "motion". Motion is change in position with time. So in one dimension, you would graph X on one axis and time on the other. When you start calculus, you will realize what it all means. Velocity = Change in position with time. [m/s] Acceleration = Change in velocity with time.[(m/s)/s = m/s^2)

Question:Our physics teacher drew a velocity-time graph showing a slanted ,straight line from the bottom left corner to the top right corner. This obviously means that it is uniform acceleration, and non-uniform motion , because in acceleration , the body is covering unequal distances in equal time intervals. But the teacher labeled it as a 'velocity-time for uniform motion when the object starts from rest' When i contradicted , he refused. Please help me.

Answers:uniform motion is not necisarily motion atthe same speed. uniform motion is where there is some regularity in the motion. an equal and exponential increase in velocity, is considered uniform motion.

Question:Hello, I am a bit confused as to what Uniformly Accelerated Motion Is: Here are a few questions: 1. Is uniformly accelerated motion and uniform accelerated motion the same? 2.Here is my explanation: Uniformly Accelerated motion is when the acceleration stays as a constant (doesn't it get faster and faster though?) and is based on the magnitude of force that pulls the cart (gravity?) 3. Does uniform accelerated motion have do with naturally accelerated motion? 4.Did galileo contribute to this notion? 5. What is the difference with acceleration and speed? For an example a ball rolling down a ramp is uniform accelerated motion. Also, do I graph it with time and velocity as x and y ? Lastly, any good websites on this topic? If you just know a good website explaining this thoroughly, then please feel free to just post that. It would be as helpful as answering the questions Thanks~

Answers:1) yes, just know it as "constant acceleration" or acceleration is constant 2) OK as long as U recognize the DIFFERENCE between velocity and acceleration. These are not the same, and usually one speaks about velocity as being or not being "faster and faster" so I'm just a bit in doubt here. 3) yes, in the sense that "g" the CONSTANT acceleration of gravity = 9.81 m/s in the SI system is acting on us (on the earth) at all times. 4) yes 5)acceleration represents CHANGE in velocity or speed NOT these variables themselves. U can graph IT anyway U like, but usually time (the independent variable) is on the x-axis when plotting motion graphs. just google it - many good sites, not able to search for U

Question:If a ball falls 10 meters in 2 seconds, what is the acceleration? and if you drop a ball on an inclined plane 3 times and square the average and make a graph of it...what does the shape of the distance vs time^2 graph indicate?

Answers:the basic equation is: dist = 1/2 a * t^2 a = 2 * dist / t^2 = 20 / 4 = 5 m/sec^2

From Youtube

Lab 2 Uniform Acceleration - Dist, Vel, and Accel Versus Time :Objectives: To explore each of the five equations for accelerated motion for a cart on an inclined track. To demonstrate what the component of acceleration down an incline is . To show that instantaneous velocity is the tangent of the graph of position vs. time.