An airplane’s altimeter measures its altitude to increase at a speed of vvertical = 14 m/s. An observer on the ground sees the plane’s shadow moving along the ground at vhorizontal = 120 m/s while the sun and plane are directly overhead. Use a standard Cartesian coordinate origin located at the observer’s position on the ground, with the plane’s horizontal velocity in the x-direction. A) Express the plane’s velocity vector, v, in component form in terms of i, j, vvertical and vhorizontal. B) Express the plane’s velocity vector, v, in component form in terms of i, j, vvertical and vhorizontal. C) At what angle, θ in degrees, above horizontal is the plane climbing?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.