Calculating Speed: Formula One Car vs. Usain Bolt

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Questions and Answers

A cyclist travels 30 kilometers in 1 hour and 15 minutes. What is the cyclist's average speed in kilometers per hour?

  • 24 km/h (correct)
  • 37.5 km/h
  • 25 km/h
  • 30 km/h

If a train travels at a constant speed of 120 km/h, how long will it take to cover a distance of 480 kilometers?

  • 3 hours
  • 5 hours
  • 4 hours (correct)
  • 6 hours

A runner completes a 5,000-meter race in 20 minutes. What is the runner's average speed in meters per second?

  • 16.67 m/s
  • 250 m/s
  • 4.17 m/s (correct)
  • 416.67 m/s

A car travels at 80 km/h for the first 2 hours of a journey and then at 100 km/h for the next 3 hours. What is the average speed of the car for the entire journey?

<p>92 km/h (D)</p> Signup and view all the answers

How far would a high-speed train travel in 3.5 hours if it maintains an average speed of 240 kilometers per hour?

<p>840 kilometers (D)</p> Signup and view all the answers

A boat travels 60 miles upstream in 3 hours and returns downstream in 2 hours. If the boat's speed in still water is constant, what is the speed of the current?

<p>5 mph (A)</p> Signup and view all the answers

An airplane flies from City A to City B in 4 hours at a speed of 500 km/h. On the return trip, the airplane flies at a speed of 400 km/h. How long does the return trip take?

<p>5 hours (A)</p> Signup and view all the answers

A snail crawls 50 cm in 5 minutes. What is its speed in meters per hour?

<p>0.6 m/h (B)</p> Signup and view all the answers

Two cars start traveling towards each other from two cities 300 km apart. Car A travels at 60 km/h and Car B travels at 40 km/h. After how many hours will the two cars meet?

<p>3 hours (B)</p> Signup and view all the answers

If a rocket travels at a speed of $2 \times 10^4$ meters per second, how far will it travel in 1 minute, expressed in kilometers?

<p>$1.2 \times 10^3$ km (D)</p> Signup and view all the answers

Flashcards

What is Speed?

The distance an object travels in a specific amount of time.

Speed Calculation Formula

Speed = Distance Traveled / Time

Usain Bolt's Speed (100m)

Approx. 10.44 meters per second.

Units for Speed

Derived from the units of distance (meters) and time (seconds), resulting in meters per second (m/s).

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Formula One Car Speed

375 kilometers per hour

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Kilometers to Meters

Multiply kilometers by 1,000.

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Hours to Seconds

Multiply by 60 twice (once to get minutes, then again to get seconds).

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Formula One Car Speed (m/s)

104.2 meters per second

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Calculate Distance

Distance = Speed × Time

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Calculate Time

Time = Distance / Speed

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Study Notes

  • Speed measures the distance an object travels in a certain time.
  • Speed is calculated using the formula: Speed = Distance Traveled / Time.

Usain Bolt's Speed Calculation

  • In 2009, Usain Bolt set the world record for the 100-meter sprint in 9.58 seconds.
  • Distance traveled by Usain Bolt: 100 meters.
  • Time taken by Usain Bolt: 9.58 seconds.
  • Usain Bolt's speed: 100 meters / 9.58 seconds = 10.44 meters per second.
  • The units for speed are derived from the units of distance (meters) and time (seconds), resulting in meters per second (m/s).

Formula One Car's Speed

  • The Formula One car speed was 375 kilometers per hour.

Comparing Speeds

  • Comparing speeds requires the units to be the same.

Converting Units

  • Kilometers can be converted to meters by multiplying by 1,000.
  • Hours can be converted to seconds by multiplying by 60 (to get minutes) and then by 60 again.

Formula One Car's Speed in Meters Per Second

  • 375 kilometers per hour is equal to 375,000 meters / 3,600 seconds = 104.2 meters per second.
  • A Formula One car is much faster than Usain Bolt.

Formula Triangle

  • Speed = Distance / Time
  • Time = Distance / Speed
  • Distance = Speed × Time

Example Questions

  • Includes example questions on distance and time
  • Distance = 150 kilometers
  • Time = 1.66 hours (1 hour 40 minutes)

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