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Over a span of 6.0 seconds, a car changes its speed from 89km/h to 37km/h. What is the average acceleration in meters per second squared?

Option 1: -2.0 m/s²
Option 2: -3.67 m/s²
Option 3: 2.0 m/s²
Option 4: 3.67 m/s²

User OJW
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1 Answer

5 votes

Final answer:

The average acceleration of the car is -2.4 m/s².

Step-by-step explanation:

To calculate the average acceleration, we need to use the formula:

average acceleration = (final velocity - initial velocity) / time

In this case, the initial velocity is 89 km/h, the final velocity is 37 km/h, and the time is 6.0 seconds.

Converting the velocities to m/s, we have:

initial velocity = 89 km/h * (1000 m/1 km) * (1 h/3600 s) = 24.7 m/s

final velocity = 37 km/h * (1000 m/1 km) * (1 h/3600 s) = 10.3 m/s

Plugging these values into the formula, we get:

average acceleration = (10.3 m/s - 24.7 m/s) / 6.0 s = -2.4 m/s²

Therefore, the correct answer is Option 5: -2.4 m/s².

User Icypy
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