An object is pushed from rest across a sheet of ice, accelerating at 8.0 m/s^2 [E] over a displacement of 1.05 m [E]. The object then slides at a constant velocity for 6.0 s until it reaches a rough section that causes the object to stop in 2.5 s.

Explanation:

From the question we are told that:

Acceleration

Displacement

Initial time

Final Time

Generally the equation for Velocity of 1.05 travel is mathematically given by

Using Newton's Law of Motion

Generally the equation for Distance traveled before stop is mathematically given by

Generally the equation for Distance to stop is mathematically given by

Since For this Final section

Final velocity

Initial velocity

Therefore

Using Newton's Law of Motion

Giving

Therefore

Generally the Total Distance Traveled is mathematically given by

d is the correct answer