Final answer:
To determine the total distance covered by the object before reaching a velocity of 0 m/s with an acceleration of -8 m/s², we need to find the time it takes for the object to reach this velocity.
Step-by-step explanation:
To determine the total distance covered by the object before reaching a velocity of 0 m/s, we need to find the time it takes for the object to reach this velocity.
Given that the object has an acceleration of -8 m/s², we can use the equation of motion v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Since the final velocity is 0 m/s and the initial velocity is not given, we can rearrange the equation to solve for time: t = (v - u) / a. Plugging in the values, we have t = (0 - u) / -8. Simplifying this equation gives t = u/8.
So, the time it takes for the object to reach a velocity of 0 m/s is t = u/8. To find the total distance covered, we can use the equation of motion s = ut + 1/2at², where s is the distance, u is the initial velocity, a is the acceleration, and t is the time. Rearranging the equation gives s = ut + 1/2at² = ut + 1/2(u/8)t².
As we can see, the distance covered will depend on the initial velocity, which is not given. Therefore, without knowing the initial velocity, we cannot calculate the total distance covered.