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Classical Mechanics

1D Kinematics

Concept Quizzes

Position, Velocity, and Acceleration
Velocity vs. Acceleration
Position Vector for Constant Velocity
Velocity Vector for Constant Acceleration
Position Vector for Constant Acceleration
Position-time graph - constant velocity
Position-time graph - constant acceleration
Problem solving with velocity and acceleration - Basic
Problem solving with velocity and acceleration - intermediate

Challenge Quizzes

1D Kinematics: Level 1-2 Challenges
1D Kinematics: Level 2-3 Challenges
1D Kinematics: Level 3-4 Challenges

Position Vector for Constant Acceleration

If an object is thrown straight upward with an initial speed of $8\text{ m/s}$ and takes $7$ seconds to hit the ground, from what height was the object thrown?

Assume that gravitational acceleration is $g=10\text{ m/s}^2.$

{194}\text{ m}

{179}\text{ m}

{189}\text{ m}

{209}\text{ m}

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by Brilliant Staff

A race car is on a straight track. The race car accelerates from rest, covering $100~\mbox{m}$ in $5~\mbox{seconds}$ . What is the acceleration of the race car in $\mbox{m/s}^2$ ?

Details and assumptions

You may neglect air resistance.

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by Brilliant Staff

A rock is dropped vertically off the edge of a cliff and hits the ground with an impact velocity of $90\text{ m/s}.$ How high is the cliff?

The gravitational acceleration is $g=10\text{ m/s}^2.$

{405}\text{ m}

{810}\text{ m}

{607}\text{ m}

{202}\text{ m}

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by Brilliant Staff

An object initially at rest starts moving in a straight line, accelerating uniformly at $3\text{ m/s}^2$ for $2$ seconds. Then it moves with a constant acceleration of $-2\text{ m/s}^2$ for $8$ seconds, and then it accelerates uniformly at $1\text{ m/s}^2$ for $8$ seconds. Find the displacement of the object during the total $18$ seconds.

{-62}\text{ m}

{-9}\text{ m}

{6}\text{ m}

{-58}\text{ m}

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by Brilliant Staff

Cliff diving is an extreme sport. If a cliff diver dives from a platform 50 meters above the water, how long does the dive take in seconds?

Details and assumptions

The acceleration of gravity is $-9.8~\mbox{m/s}^2$ .
The diver can be treated as a point mass and has no vertical velocity at the start of the dive.
Ignore air resistance.

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by Brilliant Staff