if a car, in order to pass a truck, speeds up uniformly from 45 km/h to 70 km/h in 8 s, what would be the acceleration of the car in meters per second squared?

Question

Physics

Amaya Burke

2 October, 11:43

if a car, in order to pass a truck, speeds up uniformly from 45 km/h to 70 km/h in 8 s, what would be the acceleration of the car in meters per second squared?

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Answers (1)

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Smudge · Answer 1

The acceleration of the car in meters per second squared is 0.868

Explanation:

1. Let's review the information provided to us to answer the question correctly:

Initial velocity = 45 km/h

Final velocity = 70 km/h

Time in which the change occurs = 8 seconds

2. What would be the acceleration of the car in meters per second squared?

Let's use the acceleration formula, this way:

Acceleration = (Final velocity - Initial velocity) / Time

Replacing with the real values, we have:

Acceleration = (70 km/h - 45 km/h) / 8 seconds

Acceleration = 25 km/h/8 seconds = 3.125 km/h per second

3. Now we need to convert kilometers per hour per second to meters per second squared, this way:

Let's recall that 1 km/h per second equals to 0.278 meters per second²

Meters per second squared = 3.125 * 0.278

Meters per second squared = 0.868