An object is at rest at #(6 ,5 ,9 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

Question

An object is at rest at #(6 ,5 ,9 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

1 Answer

Impact of this question

1035 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-19T16:15:23

#~~3.25s#

Explanation:

Here displacement = linear distance between the given points
so displacement #s=sqrt((6-3)^2+(5-1)^2+(9-4)^2)=sqrt50m=5sqrt2m#
Initial velocity #u=0#
Acceleration #a=4/3ms^-2#
time taken t=?

So #s=ut+1/2at^2#
#5sqrt2=0*t+1/2*4/3t^2#
#t^2=3/2*5sqrt2~~10.6#
#t ~~sqrt10.6~~3.25s#

Science

Math

Humanities

... and beyond

An object is at rest at #(6 ,5 ,9 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

1 Answer

Explanation:

Related questions

Impact of this question