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
icon
Related questions
Question

please show the steps for a) and b)

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?
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?
Expert Solution
steps

Step by step

Solved in 10 steps

Blurred answer
Knowledge Booster
Moment of Inertia
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY