Kinematics Practice Problems

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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?

<p>200 m/s</p> Signup and view all the answers

What is the acceleration of the car that traveled at 20 m/s and came to a stop in 4 seconds?

<p>5 m/s²</p> Signup and view all the answers

How far did the USS Enterprise travel if it accelerated from rest at 100,000 m/s² in 4 seconds?

<p>800,000 m</p> Signup and view all the answers

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?

<p>8 m/s</p> Signup and view all the answers

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?

<p>-1 m/s²</p> Signup and view all the answers

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?

<p>-15 m/s</p> Signup and view all the answers

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?

<p>100 m</p> Signup and view all the answers

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?

<p>1 m</p> Signup and view all the answers

Flashcards

Instantaneous Velocity

The speed of an object at a specific moment in time.

Acceleration

Rate at which velocity changes over time.

Skid Marks Incident

A car leaves a 10 m skid mark while decelerating at -45 m/s². Kinematics equations can determine the car's initial speed.

Road Runner Acceleration

Road Runner accelerates at 3 mi/s² for 10 seconds from rest. Kinematics helps find final velocity.

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Bullet's Exit Velocity

A bullet accelerates at 4000 m/s² over 0.5 m in a barrel. The bullet's exit velocity can then be determined.

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Car's Deceleration

A car decelerates from 20 m/s to a stop in 4 seconds. Calcualte negative acceleration (deceleration).

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USS Enterprise's Distance

The Enterprise accelerates from rest at 100,000 m/s² for 4 seconds. Use formulas to find total distance traveled.

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Train's Acceleration

A train slows from 30 m/s to 20 m/s over 250 m. Calcualte acceleration and note is negative since it's slowing.

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Displacement

An object's change in position.

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Water Balloon Catching

A water balloon traveling at 1 m/s decelerates at -0.5 m/s² when caught. Calculate the distance over which it decelerates.

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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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