an object travlling at 10m/s accerelates at 10m/s2 for 8seconds.what is the final velocity and how far does it travel during the 8seconds

The velocity will increase by 80 m/s. Add that to the original 10 m/s for the final speed of 90 m/s.

The average speed is (1/2)(10 + 90) = 50 m/s

Distance travelled = 8s * (average speed) = 8*50 m/s = 400 m