What Is the Car's Speed at 420m?

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To determine the car's speed at 420m, the acceleration function a = 0.01 m/s² must be integrated to find the velocity as a function of position. Given that at s = 100m the car's speed is 12m/s, the integration will involve calculating the change in velocity from 100m to 420m. The solution requires applying the fundamental theorem of calculus to relate acceleration, velocity, and position. The final speed at 420m can then be calculated based on these integrations. A complete solution will provide the necessary steps and calculations to arrive at the answer.
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Homework Statement


A car's acceleration varies with its position by a=0.01m/s*squared*. when s=100m, the car is moving at 12m/s. Calculate the speed of the car when s=420m.


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The Attempt at a Solution

 
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