An object is at rest at $(4 ,5 ,1 )$ and constantly accelerates at a rate of $5/3 m/s^2$ as it moves to point B. If point B is at $(7 ,5 ,3 )$ , 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 · 2016-11-17T18:12:35

$t=2.08$ s

$s^2=(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2$
$s^2=13$
$s=sqrt(13)$

An object is at rest $v_0=0$
$s=v_ot+at^2/2=at^2/2$
$t=sqrt(2s/a)$
$t=sqrt(2*sqrt(13)/5*3$
$t=2.08$ s

An object is at rest at (4 ,5 ,1 )(4 ,5 ,1 ) and constantly accelerates at a rate of 5/3 m/s^25/3 m/s^2 as it moves to point B. If point B is at (7 ,5 ,3 )(7 ,5 ,3 ), how long will it take for the object to reach point B? Assume that all coordinates are in meters.