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# 3. Graphical Representations and an Example

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#### About this Lecture

Lecture

In this mini-lecture, we further discuss graphical representations of distance, speed, and time, and look at an example that ties together the concepts we have learned thus far. As we move through this mini-lecture, we consider: (i) a quadratic distance vs. time graph and its corresponding linear speed vs. time graph, where we find the speed using the slope of the distance vs. time graph and find the distance travelled using the area under the curve of the speed vs. time graph; (ii) a worked example where we first find the time it would take to get to Mars if we accelerate at 3g and then find the final velocity; and (iii) a similar exercise for students to try on their own.

Course

In this course, Professor Derek Raine (University of Leicester) explores kinematics, which is the motion of objects without considering the forces that cause them to move. In the first mini-lecture, we discuss speed and velocity, looking in particular at average speed and graphical representations. In the second mini-lecture, we turn towards acceleration, where we seek to understand the rate at which objects fall under gravity and derive useful equations for systems experiencing constant acceleration. The third mini-lecture includes a discussion of graphical representations of distance, speed, and time, followed by an example that ties together the concepts learned so far. In the fourth mini-lecture, we explore gravity and seek to understand why all bodies, regardless of mass, fall with the same acceleration under gravity (the universality of freefall). In the fifth mini-lecture, we introduce projectile motion, which is the motion of a projected object that moves along a curved path under the action of gravity only.

Lecturer

Derek Raine is an Emeritus Professor of Physics and Astronomy at the University of Leicester. His research has ranged over Relativity, Cosmology, General Relativistic Quantum Field Theory, Astrophysics, Biophysics, and education. Professor Raine was involved with the University of Leicesterâ€™s Scholarship of Teaching & Learning (SoTL) research where he developed alternative approaches to teaching, including computer simulations, problem-based and research-based learning, flipped learning, and spaced repetition.

#### Cite this Lecture

**APA style**

Raine, D.
(2022, January 13).
*Kinematics - Graphical Representations and an Example* [Video]. MASSOLIT. https://massolit.io/courses/kinematics/graphical-representations-and-an-example

**MLA style**

Raine, Derek.
"Kinematics â€“ Graphical Representations and an Example." *MASSOLIT*, uploaded by MASSOLIT,
13 Jan 2022,
https://massolit.io/courses/kinematics/graphical-representations-and-an-example