The final velocity is +15.0 m/s
Explanation:
The motion of the cart is a uniformly accelerated motion (=at constant acceleration), therefore we can use the following suvat equation:
[tex]v=u+at[/tex]
where
v is the velocity at time t
u is the initial velocity
a is the acceleration
t is the time
For the cart in this problem, we have:
u = +3.0 m/s (initial velocity)
[tex]a=1.5 m/s^2[/tex] (acceleration)
t = 8.0 s (time)
Substituting, we find the final velocity:
[tex]v=3.0+(1.5)(8.0)=+15.0 m/s[/tex]
Learn more about accelerated motion:
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