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A meteor streaking through the night sky is located with radar. At point A its c

ID: 1394235 • Letter: A

Question

A meteor streaking through the night sky is located with radar. At point A its coordinates are (5.20km, 1.30km ), and 1.18s later its has moved to point B with coordinates (6.24km , 0.920km

part A

Find the x component of its average velocity between A and B.

--------- km/s

Part B

Find the y component of its average velocity between A and B

------ km/s

Part C

Find the magnitude of its average velocity between these two points.

------- km/s

Part D

Find the direction of its average velocity between these two points.

? -------- counterclockwise from +x axis.

Explanation / Answer

a)

here

vx = (6.24 - 5.20) / 1.18

vx = 0.881 km/s

the x component of its average velocity between A and B is 0.881 km/s

b)

vy = (0.920 - 1.30 ) / 1.18

vy = -0.322 km /s

the y component of its average velocity between A and B is -0.322 km/s

c)

v avg = sqrt( vx^2 + vy^2)

v avg = sqrt( 0.881^2 + 0.322^2)

v avg = 0.938 km /s

the magnitude of its average velocity between these two points is 0.938 km/s

d)

here by using

theta = tan^-1( vy / vx)

theta = tan^-1(0.322 / 0.881)

theta = 20.8 degree

the direction of its average velocity between these two points is 20.8degree