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Excel in math and science
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1D Kinematics
If train A leaves from El Paso at high noon and train B leaves from Dallas at 1 PM, you won't know when they meet unless you master 1D kinematics. What are you waiting for?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Concept Quizzes
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 \(g=10\text{ m/s}^2.\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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 \(g=10\text{ m/s}^2.\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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.