The motion of a long jumper during a jump is similar to that of a projectile moving under gravity. The figure below shows the path of an athlete above the ground during a long jump from half-way through the jump at position A, to position B at which contact is made with sand on the ground. The athlete is travelling horizontally at A.
The motion of a long jumper during a jump is similar to that of a projectile moving under gravity. The figure below shows the path of an athlete above the ground during a long jump from half-way through the jump at position A, to position B at which contact is made with sand on the ground. The athlete is travelling horizontally at A.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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Transcribed Image Text:QUESTION 2
The motion of a long jumper during a jump is similar to that of a
projectile moving under gravity. The figure below shows the path of an
athlete above the ground during a long jump from half-way through the
jump at position A, to position B at which contact is made with sand on
the ground. The athlete is travelling horizontally at A.
centre
of mass
12m
horizontal displacement of centre of mass
sand
(a) During this part of the jump, the centre of mass of the athlete falls
1.2 m.
(i)
Calculate the time between positions A and B.
(ii) The athlete is moving horizontally at A with a velocity of
8.5 ms-1. Assume there is no air resistance. Calculate the
horizontal displacement of the centre of mass from A to B.
The athlete in the image above slides horizontally through
the sand a distance of 0.35 m before stopping.
(b) (i)
Calculate the time taken for the athlete to stop. Assume the
horizontal component of the resistive force from the sand is
constant.
(ii)
component of the resistive force from the sand.
The athlete has a mass of 75 kg. Calculate the horizontal
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