A4.0-kg object is moving with speed 2.0 m/s. a 1.0-kg object is moving with speed 4.0 m/s. both objects encounter the same constant braking force, and are brought to rest. which object travels the greater distance before stopping? a 4.0-kg object is moving with speed 2.0 m/s. a 1.0-kg object is moving with speed 4.0 m/s. both objects encounter the same constant braking force, and are brought to rest. which object travels the greater distance before stopping? the 1.0-kg object the 4.0-kg object both objects travel the same distance. it is impossible to know without knowing how long each force acts.

Newton's second law states that the product between the mass and the acceleration of an object is equal to the force applied:

from which we find an expression for the acceleration:
(1)

Both objects are moving by uniformly accelerated motion (because the force applied is constant), so we can also using the following relationship
(2)
where
is the final speed of the object
is the initial speed
S is the distance covered
By substituting (1) into (2), and by removing  (since the final velocity of the two objects is zero), we find


where we can ignore the negative sign (because the force F will bring another negative sign).

For the first object, we have

And for the second object we have


And since the braking force applied to the two objects is the same, the two objects cover the same distance.

The objects are acted upon by only one force. gravity. mass times the acceleration of gravity (-9.81meters/second squared).