Question

calculate the speed of motion in each example. distance traveled time of travel speed 100 miles 2 hours 200 mph 2000 meters 5 seconds 0.0025 s/m 30 kilometers 10 minutes 300 min/km

Explanation:

Step1: Use the speed formula

The formula for speed is \(v=\frac{d}{t}\), where \(v\) is speed, \(d\) is distance, and \(t\) is time.

Step2: Calculate the first speed

For \(d = 100\) miles and \(t=2\) hours, \(v=\frac{100}{2}=50\) mph.

Step3: Calculate the second speed

For \(d = 2000\) meters and \(t = 5\) seconds, \(v=\frac{2000}{5}=400\) m/s.

Step4: Calculate the third speed

First, convert 10 minutes to hours. Since 1 hour = 60 minutes, \(t=\frac{10}{60}=\frac{1}{6}\) hours and \(d = 30\) kilometers. Then \(v=\frac{30}{\frac{1}{6}}=30\times6 = 180\) km/h.

Answer:

The correct speeds are 50 mph, 400 m/s, and 180 km/h.