Two objects a and b accelerate from rest with the sameconstant acceleration. object a accelerates for twice as muchas object b, however. which one of the following statementsis true concerning these objects at the end of their respectiveperiods of acceleration? object a will travel twice as far as object b. object a will travel four times as far as object b. object a will travel eight times further than object b. object a will be moving four times faster than object b. object a will be moving eight times faster than objectb.

object A will travel  four times as far as object B.

Explanation:

The equation that describes the distance as a function of aceleration, initial speed and time is:

So,

in both objects, because says accelerate from rest.

is the same for both objects.

The only diference is the time of acceleration, lets say be the time for object A, and be the time for object B.

Equation for object A

Equation for object B

If  , then equation for object A is

So comparing both equations, object A will travel  four times as far as object B.

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