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

Answer:

Average Speed #=48/11=4.bar36#m/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.