Questions and Answers
What can the officer estimate for the original speed of the car if the skid marks are 10 m long and the typical deceleration is -45 m/s²?
30 m/s
What is the final velocity of the Road Runner after accelerating from rest at 3 mi/s² for 10 seconds?
30 mi/s
How far does the Road Runner travel during a 10 second time interval if it accelerates at 3 mi/s² from rest?
150 mi
What is the velocity of the bullet as it leaves the barrel if it accelerates at 4000 m/s² down a 0.5 m long barrel starting from rest?
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What is the acceleration of the car that traveled at 20 m/s and came to a stop in 4 seconds?
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How far did the USS Enterprise travel if it accelerated from rest at 100,000 m/s² in 4 seconds?
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What is the final velocity of a skier who starts at 5 m/s and accelerates down a hill at 1 m/s² for 3 seconds?
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What is the acceleration of a train that decreases speed from 30 m/s to 20 m/s while traveling a distance of 250 m?
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What is the final velocity of a car that travels at 25 m/s to the north with an acceleration of 2 m/s² to the south for 20 seconds?
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What is the displacement of a car traveling at 25 m/s to the North with an acceleration of 2 m/s² to the South for 20 seconds?
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How far did Hobbes' hands move back while catching the balloon that was thrown to him at a speed of 1 m/s and experienced an acceleration of -0.5 m/s²?
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Study Notes
Kinematics Practice Problems Overview
- Focus on calculating velocity, acceleration, distance, and displacement in various scenarios.
- Problems involve different objects such as cars, bullets, trains, and fictional characters.
Problem Highlights
- Skid Marks Incident: A car with a 10 m long skid mark has a deceleration of -45 m/s², allowing estimation of its initial speed.
- Road Runner Acceleration: Starting from rest, the Road Runner accelerates at 3 mi/s² for 10 seconds, which facilitates the calculation of its final velocity.
- Travel Distance of Road Runner: With the same acceleration, during the same 10 seconds, the Road Runner covers a total distance, showcasing the relationship between acceleration, time, and distance.
- Bullet's Exit Velocity: A bullet accelerating at 4000 m/s² over a barrel length of 0.5 m can have its exit velocity determined directly.
- Car's Deceleration: A car traveling initially at 20 m/s comes to a stop in 4 seconds, enabling the calculation of its negative acceleration.
- USS Enterprise's Distance: Accelerating from rest at 100,000 m/s² for 4 seconds allows for the computation of the total distance traveled.
Additional Calculations
- Skier's Final Velocity and Displacement: A skier with an initial speed of 5 m/s, accelerating at 1 m/s² for 3 seconds, results in calculations for both final velocity and displacement.
- Train's Acceleration: A train reducing speed from 30 m/s to 20 m/s over a distance of 250 m has its acceleration calculated as negative.
- Car's Final Velocity and Displacement (with Acceleration): A car initially at 25 m/s moving south at 2 m/s² deceleration for 20 seconds ends with a negative final velocity; displacement during this time is also calculated.
Miscellaneous
- Water Balloon Catching: When a water balloon traveling at 1 m/s is caught, which leads it to experience a negative acceleration of -0.5 m/s² until at rest, the movement of Hobbes's hands can be analyzed to find the distance over which the balloon decelerates.
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Description
Test your understanding of kinematics with these practice problems. From deceleration calculations to acceleration scenarios, this quiz will help reinforce key concepts in motion. Perfect for students seeking to improve their skills in physics.
