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Advanced Speed Calculations Worksheet

A Grade 12 mathematics worksheet focusing on advanced speed, distance, and time calculations, including scenarios with varying speeds and relative motion.

Grade 12 Math MeasurementSpeed Calculations
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSN.Q.A.1CCSS.MATH.CONTENT.HSA.CED.A.1
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Advanced Speed Calculations

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Read each question carefully and show all your work. Round your answers to two decimal places where appropriate. Remember that speed = distance / time.

1. A car travels at an average speed of 80 km/h for the first 2 hours of a journey and then at an average speed of 100 km/h for the remaining 3 hours. Calculate the total distance traveled and the overall average speed for the entire journey.

2. If an object's velocity changes from 10 m/s to 30 m/s in 5 seconds, its acceleration is   m/s². This means its speed is increasing by   m/s each second.

3. Two trains are 500 km apart and moving towards each other. Train A travels at 70 km/h and Train B travels at 80 km/h. How long will it take for them to meet?

a

3 hours

b

3.33 hours

c

4 hours

d

4.5 hours

4. If you double the distance traveled in the same amount of time, your speed also doubles.

T

True

F

False

5. A boat travels 60 km upstream against a current of 5 km/h in 4 hours. How long will it take the boat to travel the same distance downstream with the current?