Final answer:
The acceleration of the car, when converted from an initial speed of 35.9 mi/hr to mks units and over a time period of 8.2 seconds, is 1.963 m/s².
Step-by-step explanation:
To calculate the acceleration of the car in mks units (meters per second squared), we must first convert the initial speed from miles per hour to meters per second. We know that 1 mile equals 1.60934 kilometers (km), and there are 3600 seconds in an hour. Thus, 35.9 mi/hr is equivalent to 35.9 mi/hr × 1.60934 km/mi × 1000 m/km ÷ 3600 s/hr = 16.094 m/s.
Since the car starts from rest, its initial velocity is 0 m/s. The final velocity has been converted to 16.094 m/s and the time taken to accelerate is 8.2 seconds. To find the acceleration (a), we will use the formula: a = Δv/Δt, where Δv is the change in velocity and Δt is the change in time.
Therefore, acceleration a = (16.094 m/s - 0 m/s) / 8.2 s = 1.963 m/s². This is the car's acceleration in mks units.