An object is at rest at $(8 ,7 ,3 )$ and constantly accelerates at a rate of $1/4 m/s^2$ as it moves to point B. If point B is at $(1 ,3 ,4 )$ , 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 · 2016-03-29T18:26:37

$t=8,06 " s"$

$"Point A=(8,7,3) Point B=(1,3,4")$
$"distance between the Point A and B :"$

$s=sqrt((1-8)^2+(3-7)^2+(4-3)^2)$

$s=sqrt((-7)^2+(-4)^2+1^2)$

$s=sqrt(49+16+1)" "s=sqrt66$

$s=8,12 " m"$

$"equation for an object constantly accelerating from rest"$

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

$t^2=(2s)/a$

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

$t^2=(2*8,12)/(1/4)$

$t^2=2*8,12*4=64,96$

$t=8,06 " s"$

An object is at rest at (8 ,7 ,3 )(8 ,7 ,3 ) and constantly accelerates at a rate of 1/4 m/s^21/4 m/s^2 as it moves to point B. If point B is at (1 ,3 ,4 )(1 ,3 ,4 ), how long will it take for the object to reach point B? Assume that all coordinates are in meters.