An object is at rest at #(7 ,9 ,4 )# and constantly accelerates at a rate of #7/4 m/s^2# as it moves to point B. If point B is at #(7 ,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 · 2018-03-04T12:34:44

#3.071s#

In this pathway,net displacement of the object is #sqrt((7-1)^2 +(1-9)^2 +(6-4)^2)=8.25m#

So,to calculate time required for this motion under constant acceleration #a# we can use,

#s=ut + 1/2 a t^2#

Here, #u=0# (as the object was initially at rest)

and, #a=7/4,s=8.25#

So, #t=3.071s#