You rise 15 feet for every 1000 feet you drive forward, what is the slope?
1 answer:
The slope is: 
.
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Note:
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slope = rise/ run = 15 ft/ 1000 ft ;
= 15/1000 = (15÷15) / (1000÷15) ;
= 1/ (200/3) = 1* (3/200) = [tex] \frac{3}{200} [/tex] .
________________________________________________________
________________________________________________________
Note:
________________________________________________________
slope = rise/ run = 15 ft/ 1000 ft ;
= 15/1000 = (15÷15) / (1000÷15) ;
= 1/ (200/3) = 1* (3/200) = [tex] \frac{3}{200} [/tex] .
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Using derivatives, it is found that:
i)
ii) 9 m/s.
iii)
iv) 6 m/s².
v) 1 second.
<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>- The velocity is the derivative of the position.
- The acceleration is the derivative of the velocity.
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item i:
Velocity is the <u>derivative of the position</u>, hence:
Item ii:
The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:
Item iv:
The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:
Hence 1 second.
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please see the attached picture for full solution
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