To convert 72 km/h to m/s, we need to multiply it by a conversion factor. Since 1 km/h is equal to 0.2778 m/s, we can calculate as follows:
72 km/h * 0.2778 m/s = 20 m/s
So, 72 km/h is equivalent to 20 m/s.
To find the acceleration of the car in m/s², we can use the formula:
acceleration = (final velocity - initial velocity) / time
Here, the initial velocity is 0 m/s (since the car starts from rest), the final velocity is 20 m/s (converted from 72 km/h), and the time is 12.0 seconds. Plugging these values into the formula, we have:
acceleration = (20 m/s - 0 m/s) / 12.0 s = 1.67 m/s²
Therefore, the acceleration of the car is 1.67 m/s².
To determine the position of the car when it reaches a velocity of 72 km/h (20 m/s), we need to use the equation of motion:
position = initial position + (initial velocity * time) + (0.5 * acceleration * time²)
Since the car starts from rest (initial position and initial velocity are both 0), we can simplify the equation to:
position = 0 + 0 + (0.5 * acceleration * time²)
Substituting the values of acceleration (1.67 m/s²) and time (12.0 s) into the equation, we get:
position = 0 + 0 + (0.5 * 1.67 m/s² * (12.0 s)²)
position = 0 + 0 + (0.5 * 1.67 m/s² * 144.0 s²)
position = 0 + 0 + 120.96 m
Therefore, the position of the car when it reaches a velocity of 72 km/h is 120.96 meters.