Grade 11 Math: Motion Problems Worksheet
This worksheet focuses on solving various motion problems involving distance, rate, and time, including scenarios with constant velocity, acceleration, and relative motion for Grade 11 students.
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Grade 11 Math: Motion Problems
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Read each question carefully and solve the motion problems. Show all your work for full credit. Remember the formulas: distance = rate × time (d = rt), and for acceleration: d = v₀t + ½at² and v = v₀ + at.
1. A car travels at a constant speed of 60 km/h for 2.5 hours. How far does it travel?
120 km
150 km
180 km
200 km
2. A train leaves a station and accelerates at a constant rate of 2 m/s². How long will it take to reach a speed of 30 m/s?
10 seconds
15 seconds
20 seconds
30 seconds
3. The formula relating distance, rate, and time for constant velocity is d = .
4. When two objects are moving towards each other, their relative speed is the of their individual speeds.
5. A boat travels 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water and the speed of the current?
6. Two cars leave the same point at the same time, traveling in opposite directions. One car travels at 50 mph and the other at 60 mph. How long will it take for them to be 330 miles apart?
7. If an object is accelerating, its velocity is constant.
True
False
8. The distance an object travels is directly proportional to the time it travels, assuming constant speed.
True
False
Match the term on the left with its definition on the right.
9. Velocity
a. The rate at which an object changes its position
10. Acceleration
b. The rate at which an object changes its velocity
11. Displacement
c. The overall change in position of an object