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Vector Kinematics
If you're in an Airbus 320 cruising at 600 mph, with a 150 mph crosswind, chances are you won't have a strong WiFi signal. Learn vector kinematics now, before you fly.
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 two-dimensional vector's initial point is \((3,-2)\) and the vector has a magnitude of \(12.\) This vector forms a \(45^{\circ}\) angle with the \(+x\) direction. What is the terminal point of the vector?
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 woman moves \(4\text{ m}\) east, \(1\text{ m}\) south, and \(4\text{ m}\) west. What is the direction of the displacement vector of the woman?
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 on a tabletop moves in a straight line, in a direction that forms a \(60^{\circ}\) angle with a ruler. The position of the object read from the ruler was \(10\text{ cm}\) when it started moving. The object then stops when its position read from the ruler is \(32\text{ cm}.\) What is the displacement of the object?
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 vector's initial point is \((4,8)\) and terminal point is \((16,-8)\) on the coordinate plane. Find the magnitude of the vector.
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.
Tom walked \(21\text{ miles}\) north, and then \(28\text{ miles}\) east. How far is he from his original location?