Final answer:
The car takes 10.9 seconds to reach a speed of 94.6 km/h.
Step-by-step explanation:
To find the time it takes for the car to reach a speed of 94.6 km/h, we can use the equation:
Vf = Vi + at
Where:
- Vf is the final velocity (94.6 km/h)
- Vi is the initial velocity (16.1 km/h)
- a is the acceleration (2.0 m/s²)
- t is the time
First, we need to convert the velocities to m/s by dividing them by 3.6:
- Vf = 94.6 km/h ÷ 3.6 = 26.3 m/s
- Vi = 16.1 km/h ÷ 3.6 = 4.5 m/s
Substituting the values into the equation:
26.3 = 4.5 + 2.0t
Simplifying the equation:
2.0t = 26.3 - 4.5
2.0t = 21.8
t = 21.8 ÷ 2.0
t = 10.9 seconds