Formulas for speed, velocity and acceleration use change of position over time. The negative sign for acceleration indicates that acceleration is toward the west. Discussion. Whereas velocity is a rate of covering distance, acceleration is a rate of the rate of covering distance—or even a rate of turning. The velocity and acceleration of the car are depicted by vector arrows. An object is speeding up (what we call “acceleration” in everyday speech) whenever the velocity and the calculus acceleration are both positive or both negative. Both The Instantaneous Velocity And The Acceleration Are Zero. In these problems, we use the de nitions in the previous paragraph in reverse: be-cause the derivative of position is velocity, then we know that the integral of velocity is position (or displacement | it tells how far and which way the object moves from where it started). In which case is the object slowing down and turning to its right? An acceleration of 8.33 m/s 2 due west means that the horse increases its velocity by 8.33 m/s due west each second, that is, 8.33 meters per second per second, which we write as 8.33 m/s 2.This is truly an average acceleration, because the ride is not smooth. Shown below are the velocity and acceleration vectors at a time t for an object in several different types of motion. acceleration (i.e., acceleration is the rate of change of velocity). neither the instantaneous velocity nor the acceleration is zero. Only The Acceleration Is Zero. The direction of these arrows are representative of the direction of the velocity and acceleration vectors. Neither The Instantaneous Velocity Nor The Acceleration Is Zero. only the acceleration is zero. This acceleration vector is the instantaneous acceleration and it can be obtained from the derivative with respect to time of the velocity function, as we have seen in a previous chapter. 5 Interesting Facts about Speed, Velocity and Acceleration. Instantaneous Acceleration. You can calculate average speed by dividing distance by travel time. both the instantaneous velocity and the acceleration are zero. This can be twice as complicated for the learner, and, as said, it is not intuitive. In addition to obtaining the displacement and velocity vectors of an object in motion, we often want to know its acceleration vector at any point in time along its trajectory. Question: At The Turning Point Of An Object, Only The Instantaneous Velocity Is Zero. Acceleration is change in velocity (speed and/or direction) over an interval of time. This is Negative acceleration. And an object is slowing down (what we call “deceleration”) when the velocity and the calculus acceleration are of opposite signs. A car moving eastward would be described as having an eastward velocity. The Earth’s gravity that pulls a falling object towards it speeds up the acceleration of a falling object. Average velocity is average speed in a direction, or a vector. 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