Answer to Question #259280 in Classical Mechanics for Tithi

Question #259280

Say, Mr. X runs on a plain land and jumps from a spot in forward direction. Recognize and describe his jumping motion through an equation and make an argument for your answer.

1
Expert's answer
2021-10-31T18:09:11-0400

"\\text{Let at the moment of the jump mr.X has the following speeds:}"

"v_x - \\text{instantaneous speed of movement horizontally }"

"v_y - \\text{instantaneous vertical speed}"

"\\text{Then the coordinates mr.X will be:}"

"x = v_xt(1)"

"y = v_yt -\\frac{gt^2}{2}(2)"

"\\text{The equations (1) and (2) coincide with the parametric}"

"\\text{ equations of a body thrown at an angle to the horizon.}"

"\\text{Where:}"

"v=\\sqrt{v_x^2+v_y^2} \\text{ -body speed}"

"\\tan \\alpha= \\frac{v_y}{v_x};\\alpha-\\text{throw angle}"



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