An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Calculate the average velocity for each leg by dividing the distance by the time: V e l oc i t y = T im e D i s t an ce .
Convert the velocities from km/min to km/h by multiplying by 60.
Compare the velocities of all legs.
Arrange the legs in ascending order based on their velocities: E , B , A , C , D .
Explanation
Understanding the Problem We are given a table with distances and times for five legs of a road trip. Our goal is to calculate the average velocity for each leg and then order the legs from the lowest to the highest average velocity.
Calculating Velocities First, we need to calculate the average velocity for each leg. The formula for average velocity is: V e l oc i t y = T im e D i s t an ce Since the distance is given in kilometers (km) and the time is given in minutes (min), the velocity will be in km/min. To convert it to km/h, we multiply the result by 60.
Velocity Calculations for Each Leg Let's calculate the velocity for each leg: Leg A: Distance = 15 km, Time = 10 min V e l oc i t y A = 10 15 = 1.5 km/min = 1.5 × 60 = 90 km/h Leg B: Distance = 20 km, Time = 15 min V e l oc i t y B = 15 20 = 3 4 ≈ 1.33 km/min = 3 4 × 60 = 80 km/h Leg C: Distance = 24 km, Time = 12 min V e l oc i t y C = 12 24 = 2 km/min = 2 × 60 = 120 km/h Leg D: Distance = 36 km, Time = 9 min V e l oc i t y D = 9 36 = 4 km/min = 4 × 60 = 240 km/h Leg E: Distance = 14 km, Time = 14 min V e l oc i t y E = 14 14 = 1 km/min = 1 × 60 = 60 km/h
Summarizing Velocities Now we have the velocities for each leg in km/h: Leg A: 90 km/h Leg B: 80 km/h Leg C: 120 km/h Leg D: 240 km/h Leg E: 60 km/h
Ordering the Legs by Velocity Finally, we arrange the legs from the lowest to the highest velocity: Leg E (60 km/h) < Leg B (80 km/h) < Leg A (90 km/h) < Leg C (120 km/h) < Leg D (240 km/h)
Final Answer Therefore, the order of the legs from lowest to highest velocity is: E, B, A, C, D.
Examples
Understanding average velocity is crucial in everyday scenarios like planning road trips or analyzing sports performance. For instance, if you're driving and want to reach your destination by a specific time, calculating the average speed needed helps you manage your travel time effectively. Similarly, in sports, coaches use average speed to evaluate player performance and optimize strategies. This concept provides a practical way to understand motion and make informed decisions based on speed and time.
