An object travels North at 2 m/s for 9 s and then travels South at 4 m/s for 3 s. What are the object's average speed and velocity?

1 Answer
Jun 16, 2016

"average speed :"v_a=2.5" "m/s
"average velocity :"v_a=1/3 " "m/s

Explanation:

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"the velocity of an object is defined as total distance covered in "
"unit time. Velocity is a scalar quantity. It has a magnitude but "
"no direction."

" average velocity of an object is calculated using formula:"

v_a=("total distance covered")/("given time interval")

"figure 1 shows the distance of object P"

"distance=AB+BC+CD+DE

"northward :"x_N=2*9=18 " "m"
"southward :"x_S=4*3=12 " "m

"total distance covered: " x=18+12=30 " "m
"given time interval : "Delta t=9+3=12 " "s
v_a=30/12=15/6=5/2=2.5" "m/s

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"Velocity is defined as net displacement of an object in unit time"

"Velocity is a vector quantity. it has both a magnitude and a direction"

v_a=("net displacement of object")/("time interval")

"displacement is a vector quantity ."

"it is calculated either Pythagoras or cosine law".

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"net displacement="18-12=4" m"

v_a=4/(9+3)

v_a=4/12=1/3 " m/s