A cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 m/s2. If the cart has a beginning speed of 2.0 m/s, what is its final speed?

To find the final speed of the cart, we can use the equation of motion:

Final speed = Initial speed + (Acceleration x Time)

Given:
Initial speed (u) = 2.0 m/s
Acceleration (a) = 4.0 m/s^2
Time (t) = 5.0 seconds

Plug in the values into the equation:

Final speed = 2.0 m/s + (4.0 m/s^2 x 5.0 seconds)
Final speed = 2.0 m/s + (20.0 m/s)
Final speed = 22.0 m/s

Therefore, the final speed of the cart is 22.0 m/s.