Question

Two objects A and B accelerate from rest with the same constant acceleration. Object A accelerates

for twice as much time as object B, however. Which one of the following statements is true concerning these objects at the end of their respective periods of acceleration?

A. Object A will be moving eight times faster than object B.

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

C. Object A will travel twice as far as object B.

D. Object A will travel eight times further than object B.

E. Object A will be moving four times faster than object B.

Answer 1

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

Step-by-step explanation:

In a problem where two objects A and B accelerate from rest with the same constant acceleration, if object A accelerates for twice as much time as object B, then object A will travel twice as far as object B.

This can be understood by considering the equation for distance traveled in uniformly accelerated motion:

d = 0.5 * a * t^2

Since object A accelerates for twice as much time, the time squared term in the equation will be four times larger for object A compared to object B. Therefore, object A will travel four times the distance as object B.

The correct statement is: Object A will travel four times as far as object B.