Okay! Let’s list what we know and what we want to know.
Initial velocity: 0 (since the truck is starting from rest)
Final velocity: ? (what we want to know)
Acceleration: 4.07
Distance: 6.31
Since we want to find the final velocity and the information gave us the distance travelled and the acceleration of the vehicle, we’re going to want to use this equation of motion:
Final Velocity^2 = Initial Velocity^2 + 2 * Acceleration * Distance
Let’s substitute what we know and work out the answer! Since the initial velocity of the truck is zero, it cancels out, so I’m going to take it out of the equation within the next couple of steps, leaving only (2 * acceleration * distance)
Final Velocity^2 = 0^2 + 2 * 4.07 * 6.31
Final Velocity^2 = 2 * 4.07 * 6.31
Final Velocity^2 = 51.3634
This gave us final velocity squared, in order to get the final velocity of the truck, we must square root the answer. Therefore:
Final Velocity = 7.167m/s^2
:)