A driver of a car enters a new 110 km/h speed zone on the highway. the driver immediately begins to accelerate and reaches 110 km/h after driving 500 m. if the original speed was 80 km/h, what was the driver's acceleration?

Question

Physics

Kylee Hahn

23 May, 12:14

A driver of a car enters a new 110 km/h speed zone on the highway. the driver immediately begins to accelerate and reaches 110 km/h after driving 500 m. if the original speed was 80 km/h, what was the driver's acceleration?

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Answers (1)

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Kaleigh Best · Answer 1

The formula for calculating acceleration can be derived from:

v^2 = v0^2 + 2 a d

where a is acceleration, v is final velocity, v0 is initial velocity and d is distance = 0.5 km

Rewriting in terms of a:

a = (v^2 - v0^2) / 2 d

a = (110^2 - 80^2) / (2 * 0.5)

a = 5,700 km/h^2 = 0.44 m/s^2