To determine the acceleration of the car, we can use the formula for acceleration, which is defined as the change in velocity divided by the time taken.
The initial velocity (u) of the car is 0 km/h, and the final velocity (v) is 60 km/h. The time (t) taken for this change is 10 seconds.
First, we need to convert the final velocity from kilometers per hour to meters per second, as the standard unit for acceleration (in the International System of Units) is meters per second squared (m/s²). To convert km/h to m/s, we can use the following relationship:
1 km/h = 1/3.6 m/s
Now, let’s convert the final velocity:
60 km/h × (1/3.6 m/s per km/h) = 16.67 m/s (approximately)
Now that we have our initial velocity (0 m/s) and final velocity (16.67 m/s), we can plug these values into the acceleration formula:
Acceleration (a) = (Final Velocity – Initial Velocity) / Time
Substituting the values:
a = (16.67 m/s – 0 m/s) / 10 s = 16.67 m/s² / 10 = 1.67 m/s²
So, the acceleration of the car is approximately 1.67 m/s².