Q Search October 8, 2017 at 10:06 PM If all of the velocity components of an obj

Question

Q Search October 8, 2017 at 10:06 PM If all of the velocity components of an object stay the same, the object's velocity vector will a.keep the same magnitude but might change direction b. keep the same magnitude but might change length. c. stay the same in both magnitude and direction. d. Not enough information ·A runner runs 500 m, east, then changes direction and runs 200 m, west. If the entire trip takes 50 s, what is the average speed and what is the average velocity? a. .6 ms east, 14 ms b. 6 ms, 14 ms in east direction . 14 ms, 6 ms east direction C. d 14 ms east direction, 6 ms east direction

Explanation / Answer

1.

Answer is c) stays the same in both magnitude and direction

since Vertical and horizntal components of initial and final velocities are same means they have the same magnitude and direction i.e

Vfx=Vox=Vx

Vfy=Voy=Vy

then magnitudes

Vo=Vf=sqrt(Vx2+Vy2)

Direction

of=oo=tan-1(Vy/Vx)

2.

Total distance travelled

D=500+200=700 m

average speed

Vavg=D/t=700/50=14 ms-1

direction does not matter

Average velocity

Vavg=(500-200)/50= 6 ms-1 (east)

Answer is C

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