By B. M Yavorsky
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Example text
3 . T H E P R I N C I P L E OF R E LAT I V I TY 1 . There is an i nfinitely great number of i nerti al reference frames with the d egree of approximation mentioned above . A ny re ference frame moving with uni form velocity in a straight line with respect to a certain inertial re ference frame is also inertial . Let us assume that a body moves by i nertia i n a cert ain reference frame. Consequent ly, its velocity changes neither in magnitude nor d irectio n . In anot her reference frame, moving with uniform velocity in a straight line with respect to the first frame, our body will have a d i fferent velocity, but which again is constant i n m agnitud e and directio n .
I nertial motion is motion along the shortest distance because in free space the shortest distance between two points is a straight line. If we state that a body is at rest we d o not imply an absolute state of rest but only rest in the given reference frame, which is in motion. with respect to other bodies . 5 . It i s precisely due to inertia that w e land in the same spot when we jump upward in a moving trai n . When we stand on the floor of a railway car in uniform motion we h ave the s ame velocity as the car.
4 . 6 . D I S P LACE M E N T A N D AVE R A G E VE L O C I TY ACCE LE RATE D M O T I O N I N U N I F O R M LY 1 . Using the conclusion reached in the preced ing section , we can readily calculate the displacement of a particle travelling with�uni formly accelarated motion . Here the velocity is a linear function CH. 4. 47 ACCELERATION of time, the velocity graph is a straight line, and the required area of the trapezoid is equal to one half the sum of the b ases multiplied by the height (see Fig.