An object travels North at #2 m/s# for #8 s# and then travels South at #3 m/s# for # 2 s#. What are the object's average speed and velocity?

1 Answer
Jun 10, 2016

Answer:

Average speed: #2.2 m/scolor(white)("XXXX")#Average velocity: #1 m/s "North"#

Explanation:

#"Distance traveled"#
#color(white)("XXX")="Distance traveled going North"+"Distance traveled going South"#

#color(white)("XXX")=2m/sxx8s+3m/sxx2s#

#color(white)("XXX")=16m+6m#

#color(white)("XXX")=22m#

#"Duration of travel"#
#color(white)("XXX")"Time traveling North" + "Time traveling South"#

#color(white)("XXX")=8s+2s#

#color(white)("XXX")=10s#

#color(red)("Average speed")#
#color(white)("XXX")="Distance traveled"/"Duration of travel"#

#color(white)("XXX")=(22m)/(10s)#

#color(white)("XXX")=2.2 m/s#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Displacement traveled (North)
#color(white)("XXX")="Distance traveled North" - "Distance traveled South"#

#color(white)("XXX")=16m-6m#

#color(white)("XXX")=10m#

#color(red)("Average velocity (North)")#
#color(white)("XXX")=("Displacement (North)")/"Duration of travel"#

#color(white)("XXX")=(10 m " North")/(10s)#

#color(white)("XXX")=1m/s " North"#