Speed and Velocity PDF
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Summary
This document explains the difference between speed and velocity. It discusses how speed and velocity are not always equal, even though they may be in simple cases. It gives an example where a person walks from their house to a shop and back. It emphasizes the idea of distance versus direction in understanding velocity.
Full Transcript
when a body does not cover equal distances in equal intervals of time, the velocity is said to be variable or non-uniform velocity. In this case the ,p..d of the body is ,rot.orrrturrt. Even if the speed of a body is constant but the diiection is changing, the velocity wiil not be uniform. Suppose a...
when a body does not cover equal distances in equal intervals of time, the velocity is said to be variable or non-uniform velocity. In this case the ,p..d of the body is ,rot.orrrturrt. Even if the speed of a body is constant but the diiection is changing, the velocity wiil not be uniform. Suppose a car is moving on a circular road with constant speed. froil, tt orgh the speed of the car is constant, its velocity is not constant because the direction of car is changing.lrrtirr,roorty. speed and verocity are Not Arways Equar in Magnitude In most of the magnitude of speed and vetcity of a moving lase^s,-Jhe body is equal. This will become clear from the following lxample. suppose t;;;", a distance of too metres in 50 seconds in going from his home to a shop in the East direction " in a straight line (see Figure 20). Home Shop 100 m; 50 s (East) Figure 20. Here, Speed ofboy = Distance travelled Time taken 100 m 50s =2 m/s... (t) since the boy runs in a specified direction (East) in a straight line path, therefore, the displacement here will be equal in magnitude to the distance travelled. Tie displac"-eri *itt actually be 100 m towards East. Thus, velocity of boy - DisPlacement Time taken 100 m towards East 50s = 2 mls towards East we can 2 mls). see...(2) that in this case the magnitude (or size) of speed and velocity of the boy is equal (being Please note that the magnitude of speed and velocity of mgving body is equal only if the body moves in a single straight line (like the boy 1 in the case). If, however, a body does not move in a single straight line, then the speed and velocity "bo# of the iody are not equal. This n.ill become clear from the following example. suppose the boy first runs a distance of 100 metres in 50 seconds in going from his home to the shop in the East direction, and then runs a distance of 100 metres again in 50 seconds in the reverse direction from the shop to reach back home from where he started (see Figure 21). 24 Mot c^ h
