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A dolphin leaps out of the water at an angle of $35^{\circ}$ above the horizontal. The horizontal component of the dolphin's velocity is 7.7 ${m} / {s}$ . Find the magnitude of the vertical component of the velocity.

5.4$m / s$

Physics 101 Mechanics

Chapter 3

Kinematics in Two Dimensions

Motion in 2d or 3d

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

10:12

A vector is a mathematical entity that has a magnitude (or length) and direction. The vector is represented by a line segment with a definite beginning, direction, and magnitude. Vectors are added by adding their respective components, and multiplied by a scalar (or a number) to scale the vector.

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01:04

So the question is state that a dolphin leaps out of the water at a 35 degree angle and the dolphins horizontal component for the velocity is 7.7 meters per second, and we're trying to find the vertical component of the velocity. Um and so to do this, all really, really need to do is take the tangent of 35 degrees. And we know that the tangent of any angle is equal to opposite over the adjacent. So the opposite in this case is the vertical component of the velocity, and the adjacent is 7.7 meters per second. And so, using this, we can solve for why, where the vertical component of the velocity is equal to 7.7 times the tangent of 35 degrees, and when you simplify this, you get that thieve vertical component is equal to 5.4 meters per second

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