Question

a cyclist rides her bike at a rate of 27 kilometers per hour. what is this rate in meters per second? how many meters will the cyclist travel in 15 seconds? round your answers. rate: distance traveled in 15 seconds:

Explanation:

Step1: Convert km/h to m/s

We know that 1 km = 1000 m and 1 h=3600 s. So, to convert 27 km/h to m/s, we use the conversion factor: $27\times\frac{1000}{3600}=7.5$ m/s.

Step2: Calculate distance

The formula for distance $d = v\times t$, where $v$ is the velocity and $t$ is the time. Given $v = 7.5$ m/s and $t = 15$ s. Then $d=7.5\times15 = 112.5$ m.

Answer:

Rate: 7.5 m/s
Distance traveled in 15 seconds: 112.5 m