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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SUMMARY

The discussion focuses on calculating the time required to travel 12 meters while accelerating uniformly at a rate of 0.20 m/s² from an initial velocity of 3.0 m/s. The solution confirms that the time taken is 3.5 seconds, derived using the kinematic equation x = x₀ + V₀*t + 0.5at². Additionally, a related problem involving an SUV accelerating at 4.0 m/s² for 10 seconds, traveling at constant velocity for 12 seconds, and then decelerating over 100 meters is also addressed, yielding a total displacement of 780 meters and an average velocity of 29 m/s.

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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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