How Long to Travel 12m at 0.20m/s² Starting at 3.0m/s?

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    Grade 11 Physics
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To determine the time taken to travel 12 meters while accelerating uniformly at 0.20 m/s² from an initial velocity of 3.0 m/s, the solution involves using kinematic equations. The calculated answer is 3.5 seconds, although the method to arrive at this solution was unclear to the poster. Another question discussed involves calculating the total displacement and average velocity for a scenario where a vehicle accelerates from rest, travels at constant speed, and then decelerates. The answers provided for this scenario are a total displacement of 780 meters and an average velocity of 29 m/s. The discussion emphasizes the importance of understanding kinematic equations for solving such problems.
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Homework Statement


Accelerating uniformly at a rate of 0.20m/s^2 from initial velocity of 3.0m/s, how long will it take to travel a distance of 12m


Homework Equations





The Attempt at a Solution


Answer is 3.5 seconds
But I don't know how you get that

Also another question

Chris accelerrates his massive SUV from rest at a rate of 4.0m/s^2 for 10s. he then travels at a constant velocity for 12s and finally comes to rest over a displacement of 100m. Determine his total displacement and average velocity,

Answer is 780m;29m

Please help!
 
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well do you know the equations for kinematics problems?

I.e

x=x_0 + V_0*t + .5at^2
 

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