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PROPRIETARY MATERIAL. © 2013 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, 
reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited 
distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, 
you are using it without permission. 
725 
 
 
PROBLEM 13.142 
The last segment of the triple jump track-and-field event is the 
jump, in which the athlete makes a final leap, landing in a 
sand-filled pit. Assuming that the velocity of a 80-kg athlete 
just before landing is 9 m/s at an angle of 35° with the 
horizontal and that the athlete comes to a complete stop in 
0.22 s after landing, determine the horizontal component of 
the average impulsive force exerted on his feet during landing. 
 
SOLUTION 
 
 
80 kg
0.22 s
m
t
=
Δ =
 
 1 2( )m t m+ − Δ =v P W v 
Horizontal components 
 
(9)(cos 35 ) (0.22) 0
(80 kg)(9 m/s)(cos 35 )
2.6809 kN
(0.22 s)
H
H
m P
P
° − =
°= = 2.68 kNHP = 

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