To calculate the final velocity of the vehicle, we can use the equation for constant acceleration:
v_f = v_i + a * t
Where: v_f is the final velocity v_i is the initial velocity a is the acceleration t is the time
In this case, the vehicle is initially moving with a velocity of 20 m/s (v_i), and it comes to a stop, so the final velocity (v_f) is 0 m/s. The time (t) is given as 4 seconds.
Plugging these values into the equation, we have:
0 m/s = 20 m/s + a * 4 s
Now we can solve for the acceleration (a):
-20 m/s = 4 a
Dividing both sides by 4:
a = -5 m/s²
The negative sign indicates that the vehicle is decelerating or slowing down.
Therefore, the final velocity of the vehicle is 0 m/s.