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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
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A lady goes on a hike for \( 90 \text{ minutes}. \) Her average speed is \( 8 \text{ km/h}, \) and she hikes in a direction that makes a \( 60^\circ\) angle with the eastward and a \(30^\circ\) angle with the northward. Express her displacement using two direction components.
Assume that \( \sqrt{3}\) is approximately \(1.7. \)
Excel in math and science
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It's hard to learn from lectures and videos
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The motion of a creature on a two dimensional plane can be described by the following equations for velocity in \(x \text{ and } y\) directions: \[\begin{align} v_x(t)&=6t \\ v_y(t)&=- 2t + 7. \\ \end{align}\] Find the square of the magnitude of its velocity vector at \( t = 2.\)
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Immediately after a ship sets out to sail \(150 \text{ km} \) north, an unexpected storm blows the ship to a point \( 140 \text{ km} \) east of its starting point. Approximately how far must it now sail to reach its original destination?
Excel in math and science
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A car drives at \( 40.0 \text{ km/h} \) due west for \( 60 \text{ minutes}, \) then due north at \( 20.0 \text{ km/h} \) for \( 90 \text{ minutes}. \) Find the magnitude of the car's total displacement.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
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Consider \(g = 10 \text{ m/s}^2\)