3. An athlete pushes against an exercise machine with a force that varies with time according to F(t) = 1200 N (1 – k f), where k = 8 s² Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.
3. An athlete pushes against an exercise machine with a force that varies with time according to F(t) = 1200 N (1 – k f), where k = 8 s² Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.
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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Question
![3. An athlete pushes against an exercise machine with a force that varies with time according to
F(1) = 1200 N (1 – kf), where k = 8 s?
Also, the velocity of the athlete's legs acting in the same direction as the force acts according to
v(t) = 7 m/s² t
a. Create a computer generated plot of the power as a function of time.
b. Find the maximum power the athlete generates and the time at which maximum power is
generated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba194c6-539e-4b57-8637-e24c59390e39%2Fbf3f06d4-49c3-4202-85ec-78162681eca1%2F1g0bpxa_processed.png&w=3840&q=75)
Transcribed Image Text:3. An athlete pushes against an exercise machine with a force that varies with time according to
F(1) = 1200 N (1 – kf), where k = 8 s?
Also, the velocity of the athlete's legs acting in the same direction as the force acts according to
v(t) = 7 m/s² t
a. Create a computer generated plot of the power as a function of time.
b. Find the maximum power the athlete generates and the time at which maximum power is
generated.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
(a)
Given -
F = 1200(1- kt2) N
Where k =8
So,
F = 1200(1- 8t2) N
Velocity (v) = 7t m/s
Now,
Power (P) = Force x Velocity = F x v
(P) = 1200(1- 8t2) x 7t
(P) = Watt
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