Final answer:
The car took 1.107 seconds to go from 50.0 km/h to 60.0 km/h with a constant acceleration.
Step-by-step explanation:
To find the time it took for the car to go from 50.0 km/h to 60.0 km/h, we can use the equation:
acceleration = change in velocity / time
Since the car is accelerating uniformly, the acceleration will be constant. We know that the final velocity is 60.0 km/h and the initial velocity is 50.0 km/h. Converting these velocities to m/s, we get 16.7 m/s and 13.9 m/s respectively.
Using the equation, we can solve for time:
acceleration = (final velocity - initial velocity) / time
Substituting the known values:
(60.0 km/h - 50.0 km/h) / time = 16.7 m/s - 13.9 m/s
Simplifying the equation gives:
3.1 m/s / time = 2.8 m/s
Solving for time, we get:
time = 3.1 m/s / 2.8 m/s = 1.107 s