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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

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

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

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

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

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

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

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