An object is at rest at $(4 ,1 ,6 )$ and constantly accelerates at a rate of $4/3 m/s^2$ as it moves to point B. If point B is at $(3 ,1 ,6 )$ , how long will it take for the object to reach point B? Assume that all coordinates are in meters.

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Answer 1 · 2016-03-30T12:16:25

$t=sqrt6/2" "s$

$"distance between (4,1,6) and (3,1,6):"$

$s=sqrt((3-4)^2+(1-1)^2+(6-6)^2)$

$s=sqrt((-1)^2+0^2+0^2)$
$s=1" "m$

$s=1/2*a t^2$

$s=1" m"$
$a=4/3 " "m/s^2$

$t=?$

$1=1/2*4/3*t^2$

$t^2=6/4$

$t=sqrt6/2" "s$

An object is at rest at (4 ,1 ,6 )(4 ,1 ,6 ) and constantly accelerates at a rate of 4/3 m/s^24/3 m/s^2 as it moves to point B. If point B is at (3 ,1 ,6 )(3 ,1 ,6 ), how long will it take for the object to reach point B? Assume that all coordinates are in meters.