To determine the time it takes for the vehicle to reach a velocity of 20 m/s with an acceleration of 2 m/s², you can use the following kinematic equation:
v = u + at
Where: v is the final velocity (20 m/s), u is the initial velocity (0 m/s, since the vehicle starts from rest), a is the acceleration (2 m/s²), and t is the time taken.
Rearranging the equation to solve for time (t), we have:
t = (v - u) / a
Substituting the given values:
t = (20 m/s - 0 m/s) / 2 m/s² t = 20 m/s / 2 m/s² t = 10 s
Therefore, it will take 10 seconds for the vehicle to reach a velocity of 20 m/s.