Kinematics Question. Car's acceleration

AI Thread Summary
A van traveling with uniform acceleration increases its speed from 10 m/s to 20 m/s over a distance of 100 m between marker posts. To find the car's acceleration, the relevant kinematic equation is v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is acceleration, and s is the distance. Plugging in the values, we have (20 m/s)² = (10 m/s)² + 2a(100 m). This simplifies to 400 = 100 + 200a, leading to an acceleration of 1.5 m/s². The solution demonstrates the application of kinematic equations for constant acceleration in motion analysis.
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A van is traveling with uniform acceleration along a straight road. The road has marker posts every 100 m. When the car passes one post, it has a speed of 10 ms-1 and, when it passes the next one, its speed is 20 ms-1.

What is the car’s acceleration?
 
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Per forum rules, please list the relevant equations and show an attempt at a solution, and someone will be glad to help. You should be familiar with the kinematic equations of motion for constant acceleration.
 
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