please show the steps for a) and b)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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please show the steps for a) and b)

Transcribed Image Text:1) Pretend you are the new Track & Field coach for your school; you want to apply what you
learned in the Biomechanics course to help your long jump athletes improve. Unfortunately, the
Track & Field program does not have a lot of money so the only equipment you have is a
stopwatch (to measure the athlete's time of flight), a tape measure (to measure the length of the
jump), and a calculator. In a practice jump, one of your athletes was in the air for 1 second and
recorded a jump of 8m.
Assumptions:
The athlete's center of gravity undergoes projectile motion during the long jump
Air resistance is negligible and the athlete's center of gravity has the same height
at launch (i.e., takeoff) and landing
Based on the above assumptions: for a given take-off velocity
magnitude, the maximum horizontal range of motion is achieved when
the takeoff angle is 45°
Should the athlete increase or decrease his angle of release (i.e., takeoff angle) to
improve his performance? (Answer: Should increase)
а.
b. For the takeoff speed that the athlete generated, what is his best possible jump?
(Answer: 8.9)
С.
Do you think the assumptions above valid? Why or why not?
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