To determine the stopping distance of an object, we need to consider its initial velocity and the deceleration rate. The stopping distance is the distance traveled by the object from the time it starts decelerating until it comes to a complete stop.
The equation that relates the stopping distance (d), initial velocity (v₀), deceleration rate (a), and time (t) is:
d = (v₀^2) / (2a)
In this case, the initial velocity (v₀) is 20 meters per second, and the deceleration rate (a) is 2 meters per second squared.
Substituting these values into the equation:
d = (20^2) / (2 * 2)
d = 400 / 4
d = 100 meters
Therefore, the stopping distance of the object will be 100 meters.