Final answer:
The acceleration rate of the 2,000kg truck is calculated by subtracting the opposing forces from the applied force to find the net force and then dividing by the mass of the truck. The result is an acceleration of 1.975 m/s².
Step-by-step explanation:
The rate of acceleration of a 2,000kg truck subjected to various forces can be found using Newton's second law of motion, which states that the force acting on an object equals the mass of the object multiplied by its acceleration (F = ma). In this case, you have a total force (Ftotal) that is the sum of the force used to move the truck forward (4,200 N) and the opposing forces of friction (50 N) and drag (200 N). To find the net force (Fnet), you subtract the sum of the opposing forces from the force moving the truck forward: Fnet = 4,200 N - (50 N + 200 N) = 3,950 N. Then, you can calculate the acceleration (a) by rearranging the formula to a = Fnet/m. Inserting the net force and mass of the truck into the equation, you get a = 3,950 N / 2,000 kg = 1.975 m/s2. This is the truck's acceleration rate.