Explain the meaning of the slope from both the position versus time and velocity

Question

Explain the meaning of the slope from both the position versus time and velocity versus time graphs. Without looking at the acceleration versus time graphs on your data collection system, create acceleration versus time graphs for each type of motion from their correspond velocity versus time graphs. Be sure to label both axes with the correct scale and units. You can use graph paper for your responses and turn them in the conventional way. Analysis Questions 1. One of the three types of motion you explored was constant velocity, but was the velocity of the cart totally constant during your trials or did it slow slightly? What are some factors that may have caused the velocity of the cart not to be constant? 2. Another type of motion you explored was constant acceleration. What caused the constant acceleration of the cart? How could you have increased this acceleration, and how would your graphs of position and velocity versus time be different if the acceleration was greater? 3. Imagine you were standing in front of a motion sensor which was measuring your position as a function of time as you moved toward or away from the sensor. Assuming the graph below shows this data, describe your motion during data collection in terms of your speed and direction.

Explanation / Answer

Solution -1

In position vs time graph, the equation is x(t) =ct+D

Where c is the slope. If D= 0, c = x(t)/t = velocity.

Hence theslope of position vs time graph shows velocity.

# Now in velocity vs time graph, similarly v(t) = ct +D

If D=0 v(t)/t = c , which is change in velocity with respect to time. Also called ACCELERATION.

If c = 0. Then v = D . Hence acceleration =0 and velocity is constant =D.

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.