A time t=0 a car is moving 6 m/s then smoothly acceleration after t second is a (t) 3t m/s²
You didn't ask a specific question but I am going to solve some cases for you
Let's assume you are looking for the velocity of the vehicle at a particular time t, let's say t=4s
Velocity = integral of acceleration = 3t2/2
At t=4
Velocity = 3(4×4)/2 = 24m/s
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