PPT-Velocity, Acceleration, Jerk

Section 34a The difference quotient When we let h approach 0 we saw the rate at which a function w as changing at a particular point x Definition Instantaneous Rate of Change The . Section 3.4a. The difference quotient:. When we let . h. approach 0, we saw the rate at which a function. w. as changing at a particular point . x. …. Definition: Instantaneous Rate of Change. The . . (TG). Purpose:. This chapter introduces the ideal constant jerk S-curve (jerk is the derivative of acceleration), represented by a 2. nd. order polynomial in velocity. Its shape is governed by the motion conditions at the start and end of the transition.. 2.7 m/s. 2. While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Remember that a negative value indicates a slowing down or deceleration.) . Describe the speedometer on a car that is entering a highway, drives for 25 miles and then exits the highway.. Consider the two situations below. When a shuttle bus approaches a stop, the driver begins to apply the brakes to slow down 5.0 s before actually reaching the stop. The speed changes from 9.0 m/s to 0 m/s over time.. Separation of motion in x-and y-direction . Equations for 2-d kinematics at constant acceleration. Projectile motion. Lecture 4: Motion in two dimensions. Velocity. , . .  . Position vector . Bell Ringer 11-7-13. Compare and Contrast Speed, Velocity and Acceleration. is the speed of an object in a particular direction. MYP Unit Question: What Moves YOU!!. Area of Interaction: Human Ingenuity. Displacement: . Is the distance from where you start to where you finish. . Δ. d=. d. f. -d. i. Velocity:. How fast and in what direction (vector quantity). V = ∆d/t. Speed: . How fast (scalar quantity). Velocity and acceleration Measuring an objects motion speed Speed is calculated by dividing distance by time S = d/t 5.0 km/h 2.5 m/s 45 mph velocity Velocity is the same as speed, but you tell the direction of motion in the answer. Acceleration is a change in velocity. Speed or direction. Centripetal Acceleration. Acceleration can mean a change in direction, not just speed. Centripetal acceleration. Acceleration that occurs in a circular motion. Acceleration is a measure of . the change in velocity per unit of time. When the velocity of an object is changing, it is . accelerating. Negative acceleration: . slowing down. Positive acceleration: . V. ector quantity: . magnitude (value) & direction. R. ate . at which an object changes its velocity. . “. How fast an object is getting faster”. If the velocity of an object is changing, it is accelerating!. Displacement, Velocity, and Acceleration are the three vector quantities that describe the motion of any object during a specified time interval.. Vectors – Quantities that have . magnitude . and direction.. Displacement: . Is the distance from where you start to where you finish. . Δ. d=. d. f. -d. i. Velocity:. How fast and in what direction (vector quantity). V = ∆d/t. Speed: . How fast (scalar quantity). Defination. In non-uniform motion,the velocity of a body changes with time . For example, when a train leaves or approaches the platform its velocity changes with time. The change in velocity of an object with time is given by a physical quantity known as acceleration. .