3D Kinematics

Classical Mechanics Level 3

In the $xyz$ -coordinate system, a massive particle is initially at rest on a plane whose equation is given below: $x + 2y + 3z = 0.$ The particle is launched with initial velocity $(v_x,v_y,v_z) = (-3,7,12)$ . It travels under the influence of a gravitational acceleration of $(a_x,a_y,a_z) = (0,0,-10)$ until it intersects the plane once more.

When the particle intersects the plane for the second time, how far away is it from the launch point (to 3 decimal places)?

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3D Kinematics

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, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.