![]() ![]() Note: The ~ symbol as used here means approximately. These numbers are summarized in the table below. Given these average velocity values during each consecutive 1-second time interval, we could say that the object would fall 5 meters in the first second, 15 meters in the second second (for a total distance of 20 meters), 25 meters in the third second (for a total distance of 45 meters), 35 meters in the fourth second (for a total distance of 80 meters after four seconds). Our free-falling object would be constantly accelerating. If we were to observe the motion of a free-falling object ( free fall motion will be discussed in detail later), we would observe that the object averages a velocity of approximately 5 m/s in the first second, approximately 15 m/s in the second second, approximately 25 m/s in the third second, approximately 35 m/s in the fourth second, etc. A falling object for instance usually accelerates as it falls. Since accelerating objects are constantly changing their velocity, one can say that the distance traveled/time is not a constant value. Anytime an object's velocity is changing, the object is said to be accelerating it has an acceleration. In fact, the velocity is changing by a constant amount - 10 m/s - in each second of time. The velocity is changing over the course of time. The data at the right are representative of a northward-moving accelerating object. If an object is not changing its velocity, then the object is not accelerating. Acceleration has to do with changing how fast an object is moving. A person can be moving very fast and still not be accelerating. Yet acceleration has nothing to do with going fast. Sports announcers will occasionally say that a person is accelerating if he/she is moving fast. An object is accelerating if it is changing its velocity. Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity.An often confused quantity, acceleration has a meaning much different than the meaning associated with it by sports announcers and other individuals. The final mathematical quantity discussed in Lesson 1 is acceleration. ![]()
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