While competing in the long jump, a person leaps over a smooth horizontal sand surface. She lands on the surface with speed v= 7.75 m/s at an angle = 33° below horizontal. Assume that the person moves without air resistance. Use a Cartesian coordinate system with the origin at her final position. The positive x-axis is directed from her initial to her final position, and the positive y-axis is directed vertically upwards. Part (a) Enter an expression for the jumper's initial velocity vector in terms of vf, 0, g, and the unit vectors i and j. VoVe cos(8) i+ve sin(8) j✔ Correct! Part (b) Calculate the maximum height, in meters, that the jumper reaches above ground level. ✓ Correct! max=0.908 33% Part (c) What x position, in meters, did the jumper begin her long jump? xo =

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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While competing in the long jump, a person leaps over a smooth horizontal sand surface. She lands on the surface with speed vf = 7.75
m/s at an angle = 33° below horizontal. Assume that the person moves without air resistance. Use a Cartesian coordinate system with the origin at her final
position. The positive x-axis is directed from her initial to her final position, and the positive y-axis is directed vertically upwards.
Part (a) Enter an expression for the jumper's initial velocity vector in terms of vf, 0, g, and the unit vectors i and j.
Vo = Vf cos(0) i+vf sin(0) j✔ Correct!
Part (b) Calculate the maximum height, in meters, that the jumper reaches above ground level.
✓ Correct!
hmax=0.908
33% Part (c) What x position, in meters, did the jumper begin her long jump?
xo =
Transcribed Image Text:While competing in the long jump, a person leaps over a smooth horizontal sand surface. She lands on the surface with speed vf = 7.75 m/s at an angle = 33° below horizontal. Assume that the person moves without air resistance. Use a Cartesian coordinate system with the origin at her final position. The positive x-axis is directed from her initial to her final position, and the positive y-axis is directed vertically upwards. Part (a) Enter an expression for the jumper's initial velocity vector in terms of vf, 0, g, and the unit vectors i and j. Vo = Vf cos(0) i+vf sin(0) j✔ Correct! Part (b) Calculate the maximum height, in meters, that the jumper reaches above ground level. ✓ Correct! hmax=0.908 33% Part (c) What x position, in meters, did the jumper begin her long jump? xo =
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