s, starring from rest, a particle confined along a straight ine is accelerated a

Question

s, starring from rest, a particle confined along a straight ine is accelerated at a rate Which one of the following statements accurately describes the motion A) The particle tra m during each second 9 A car travels along a highway with a velocity of 24 m/s, west. The car exits the highway and 4.0 s later, its instantaneous velocity is 16 m/s, 45° north of west. What is the magnitude of the average acceleration of the car during the four-second interval? A) 2.4 m/s B) 4.5 m/s c) 1.2 m/s D) 11 m/s E) 17 m/s

Explanation / Answer

Initial velocity component is 24 m/s in west
After 4 second later the component along west would be 16 cos 45 = 11.3 m/s
So change in the velocity component along west = 24- 11.3 = 12.68 m/s
And there was no velocity component in the north or (Y) direction but after 4s it would be = 16sin45 = 11.3

Net change in velocity = ((12.68)2 + (11.3)2 )1/2 = 17
Average acceleration a = 17/4 = 4.2 m/s2 which is close to answer B.

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