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

v = Vi + a t

v = 2 + 5*4 = 22 m/s

To find the final speed of the cart, we can use the formula for acceleration:

v = u + at

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

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

Substituting these values into the equation, we get:

v = 2.0 m/s + (4.0 m/s²) * 5.0 s

Now we can solve this equation to find the final speed:

v = 2.0 m/s + 20 m/s

Simplifying the equation, we get:

v = 22.0 m/s

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

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