A particle moves over a hill whose shape is described by: y (x) = 1+ (²) ² In this expression, A represents the height of the hill and parameter a characterizes the severity of the grade. For A = 10 m and a = 2.8 m, find the radius of curvature at the top of the hill (x = 0 m). If the particle's speed at the top of the hill is v= 1 m/s and its rate of change of speed is v = 0 m/s, find the particle's acceleration at the top of the hill. (Round the final answer to four decimal places. Include a minus sign if necessary.) P 1 m/s 10m The radius of curvature at the top of the hill is The particle's acceleration at the top of the hill is m. ] m/s² ĵ.
A particle moves over a hill whose shape is described by: y (x) = 1+ (²) ² In this expression, A represents the height of the hill and parameter a characterizes the severity of the grade. For A = 10 m and a = 2.8 m, find the radius of curvature at the top of the hill (x = 0 m). If the particle's speed at the top of the hill is v= 1 m/s and its rate of change of speed is v = 0 m/s, find the particle's acceleration at the top of the hill. (Round the final answer to four decimal places. Include a minus sign if necessary.) P 1 m/s 10m The radius of curvature at the top of the hill is The particle's acceleration at the top of the hill is m. ] m/s² ĵ.
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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Transcribed Image Text:A particle moves over a hill whose shape is described by:
y (x) =
A
+(²)²
1+
In this expression, A represents the height of the hill and parameter a characterizes the severity of the grade. For A = 10 m and a=
2.8 m, find the radius of curvature at the top of the hill (x = 0 m). If the particle's speed at the top of the hill is v= 1 m/s and its rate of
change of speed is v = 0 m/s, find the particle's acceleration at the top of the hill. (Round the final answer to four decimal places.
Include a minus sign if necessary.)
P
1 m/s
10m
The radius of curvature at the top of the hill is
The particle's acceleration at the top of the hill is
m.
m/s² ĵ.
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