An object travels North at 4 m/s for 9 s and then travels South at 6 m/s for 2 s. What are the object's average speed and velocity?

1 Answer

Average Speed =48/11=4.bar36m/sec
Average Velocity =24/11=2.bar18" "m/sec directed North

Explanation:

The given data

Directed North v_1=4" "m/sec for time t_1=9" "sec
Directed South v_2=6" "m/sec for time t_2=2" "sec

distance d_1=v_1*t_1=4*9=36" "m
distance d_2=v_2*t_2=6*2=12" "m

Average speed =(d_1+d_2)/(t_1+t_2)=(36+12)/(9+2)=48/11=4.bar36" "m/sec

Average Velocity =(+36+(-12))/(9+2)=24/11=2.bar18" "m/sec

God bless....I hope the explanation is useful.