An object is at rest at #(8 ,1 ,5 )# and constantly accelerates at a rate of #7/4 m/s^2# as it moves to point B. If point B is at #(6 ,5 ,2 )#, 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 · 2016-04-05T15:30:16

#t=2,48" s"#

#"first; let's find distance between the point of(8,1,5) and (6,5,2)"#

#s=sqrt((6-8)^2+(5-1)^2+(2-5)^2)#

#s=sqrt((-2)^2+4^2+(-3)^2)=sqrt(4+16+9)=sqrt(29)" m"#

#"now ; let's use the equation of "s=1/2*a t^2#

#sqrt29=1/2*7/4* t^2#

#t^2=(8*sqrt29)/7#

#t^2=(8*5,39)/7#

#t=2,48" s"#