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