A car rounds a flat curve of radius 10 m at 8 m/s. What is the centripetal acceleration?

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Multiple Choice

A car rounds a flat curve of radius 10 m at 8 m/s. What is the centripetal acceleration?

Explanation:
Centripetal acceleration is given by a_c = v^2 / r, directed toward the center of the curve. With a speed of 8 m/s and a radius of 10 m, a_c = 8^2 / 10 = 64 / 10 = 6.4 m/s^2. This value exactly matches the given numbers. The other options would come from using a different radius or a wrong formula (for example, a = v/r or using a different r), which isn’t the case here.

Centripetal acceleration is given by a_c = v^2 / r, directed toward the center of the curve. With a speed of 8 m/s and a radius of 10 m, a_c = 8^2 / 10 = 64 / 10 = 6.4 m/s^2. This value exactly matches the given numbers. The other options would come from using a different radius or a wrong formula (for example, a = v/r or using a different r), which isn’t the case here.

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