Atruck initially traveling at a speed of 22 meters per second increases speed at a constant rate of 2.4 meters per second^2 for 3.2 seconds. what is the total distance traveled by the truck during this 3.2 second time interval

Thank you for posting your question here. The total distance traveled by the truck during the 3.2 seconds interval is 83 m. Below is the solution:

d = vit + 1/2 at^2
d = (22m/ s) (3.2s) + 1/2 (2.4m/ s^2) (3.2s)^2
d = 83 m 
Hope the answer helps.