Mastering Average Speed with Batman’s Road Trip

If Batman drives at an average speed of 125.0 km/hr for 3 hours, and 75.0 km/hr for 1 hour, what is the average speed of the entire trip?

• A. 100.0 km/hr
• B. 110.0 km/hr
• C. 112.5 km/hr
• D. 120.0 km/hr

Answer: (C)

To determine the average speed of Batman's entire trip, you need to consider both the total distance traveled and the total time spent traveling. First, calculate the distance for each segment of the trip: For the first part of the trip, where Batman drives at 125.0 km/hr for 3 hours, the distance is calculated as follows: Distance = Speed × Time = 125.0 km/hr × 3 hr = 375.0 km. For the second part of the trip, where he drives at 75.0 km/hr for 1 hour, the distance is: Distance = Speed × Time = 75.0 km/hr × 1 hr = 75.0 km. Now, add these two distances together to find the total distance: Total Distance = 375.0 km + 75.0 km = 450.0 km. Next, calculate the total time spent on the trip: Total Time = 3 hours + 1 hour = 4 hours. Finally, the average speed is calculated by dividing the total distance by the total time: Average Speed = Total Distance / Total Time = 450.0 km / 4 hr = 112.5 km/hr. Thus, the average

Let’s conquer the concepts of average speed in a way that even Batman would appreciate! You know what? Calculating average speed can sometimes feel like an elaborate riddle. It’s not just about knowing how fast you’ve gone; it’s about piecing together the journey, like a puzzle.

Imagine Batman zooming through Gotham City. First, he drives at a blazing average speed of 125.0 km/hr for a solid 3 hours. So, how far does he get? Simple math reveals:

• Distance = Speed × Time:

• 125.0 km/hr × 3 hr = 375.0 km.

Now, that’s a serious stretch of road! But our caped crusader isn’t done just yet. Next, he slows down to 75.0 km/hr for 1 hour. What’s the distance this time? Another quick calculation:

• Distance = Speed × Time:

• 75.0 km/hr × 1 hr = 75.0 km.

Now, let’s piece it all together. Totaling up the distances gives us:

• Total Distance = 375.0 km + 75.0 km = 450.0 km.

Already, you can see how important these calculations can be—not just in our day-to-day lives, but also in understanding complex scenarios, almost like solving real-world mysteries, wouldn’t you agree?

Now, let’s shift our focus to the time. Batman spent:

• Total Time = 3 hours + 1 hour = 4 hours.

So what’s the average speed for this entire high-octane trip? Buckle up! The average speed formula is:

• Average Speed = Total Distance / Total Time:

• 450.0 km / 4 hr = 112.5 km/hr.

Tada! There you have it! The average speed for Batman’s entire trip is a swift 112.5 km/hr.

Why is all of this even important, you might wonder? Understanding average speed isn’t just about exam questions or homework problems. It teaches us critical thinking and develops our problem-solving skills in a fun and relatable way. As you prep for your UCF PSC1121 exam, remember that grasping these principles can help you tackle similar physical science challenges!

So, the next time you find yourself needing to calculate distance, speed, or time—think of Batman on the road! He might just inspire you to dig deeper into the world of physics, making it less of a chore and more of an adventure. Keep practicing, and you’ll be a master in no time!