Final answer:
The cyclist's acceleration is found by dividing the change in velocity by the time over which it occurs. After converting from km/min to m/s, the acceleration is calculated to be 0.0556 m/s².
Step-by-step explanation:
The question asks about the acceleration of a cyclist who increases her velocity from 2 km/min to 3 km/min over a 5-minute interval. Acceleration is defined as the change in velocity over time. To find the acceleration, we use the formula:
A = ∆V / ∆T, where A is acceleration, ∆V is the change in velocity, and ∆T is the change in time.
To convert km/min into m/s, we note that 1 km = 1000 m and 1 minute = 60 seconds. The change in velocity is (3 km/min - 2 km/min) = 1 km/min, which equals (1 km/min) * (1000 m/km) / (60 s/min) = 16.67 m/s.
Given that the time interval ∆T is 5 minutes, we convert this to seconds: 5 min * 60 s/min = 300 s. Now, we can calculate the acceleration:
Acceleration (A) = ∆V / ∆T = 16.67 m/s / 300 s = 0.0556 m/s².