A cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 M/S squared if the cart has beginning speed of 2.0 M/S what is the final speed?

The final speed can be calculated using the equation for velocity:

v = u + at

where:
v = final velocity (speed)
u = initial velocity (speed)
a = acceleration
t = time

Given:
u = 2.0 m/s
a = 4.0 m/s²
t = 5.0 s

Plugging in the values:

v = 2.0 m/s + (4.0 m/s²)(5.0 s)
v = 2.0 m/s + 20.0 m/s
v = 22.0 m/s

Therefore, the final speed of the cart rolling down the incline after 5.0 seconds is 22.0 m/s.