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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
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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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.
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
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) =8400×t-8t3 Watt

 

 

 

 

 

 

 

 

 

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