g A small car travels up the hill with a speed of v = 0.2 s (m/s) where s is the distance measured from point A in meters. Determine the magnitude of the car’s acceleration when it reaches s = 50 (m) where the road’s radius of curvature is r

The magnitude of the acceleration of the car when is .

Explanation:

The acceleration can be obtained by using the following differential equation:

Where , and are the acceleration, speed and distance masured in meters per square second, meters per second and meters, respectively.

Given that , its first derivative is:

The following expression is obtained by replacing each term:

The magnitude of the acceleration of the car when is:

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