Grade 12 Math: Motion Problems Worksheet

This worksheet focuses on solving various motion problems involving distance, rate, and time, including scenarios with varying speeds, directions, and relative motion.

Grade 12 Math AlgebraMotion Problems

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.A.1

Topics

mathalgebramotion problemsdistanceratetimegrade 12

7 sections · Free to use · Printable

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Grade 12 Math: Motion Problems

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Read each problem carefully and solve for the unknown quantity. Show all your work.

1. A train leaves the station traveling at 60 mph. Two hours later, another train leaves the same station on a parallel track, traveling at 80 mph in the same direction. How long will it take the second train to catch up to the first train?

2. Two cars leave the same city at the same time, traveling in opposite directions. One car travels at 55 mph and the other at 65 mph. After hours, they will be 360 miles apart.

3. A boat travels 60 miles upstream in 3 hours and returns downstream in 2 hours. What is the speed of the current?

5 mph

10 mph

12 mph

2 mph

4. A plane flies 800 miles with a tailwind in 4 hours. On the return trip against the same wind, the plane takes 5 hours. Find the speed of the plane in still air and the speed of the wind.

5. If two objects are moving towards each other, their relative speed is the difference between their individual speeds.

True

False