Use calculus to solve Eq. (1.21) for the case where the initial velocity is (a) positive and (b) negative. (c) Based on your results for (a) and (b), perform the same computation as in Example 1.1 but with an initial velocity of -40 m/s. Compute values of the velocity from t = 0 to 12 s at intervals of 2 s. Note that for this case, the zero velocity occurs at t = 3.470239 s. Eq. 1.21: dv =g-d. 2 dt m Example 1.1 Problem Statement: A bungee jumper with a mass of 68.1 kg leaps from a stationary hot air balloon. Use Eq. (1.9) to compute velocity for the first 12 s of free fall. Also determine the terminal velocity that will be attained for an infinitely long cord (or alternatively, the jumpmaster is having a particularly bad day!). Use a drag coefficient of 0.25 kg/m. dv Eq. (1.9) =g- dt m

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use calculus to solve Eq. (1.21) for the case where the initial velocity is (a) positive and (b)
negative. (c) Based on your results for (a) and (b), perform the same computation as in Example
1.1 but with an initial velocity of -40 m/s. Compute values of the velocity from t = 0 to 12 s at
intervals of 2 s. Note that for this case, the zero velocity occurs at t= 3.470239 s.
Eq. 1.21:
dv
=g-d. 2
dt
m
Example 1.1 Problem Statement:
A bungee jumper with a mass of 68.1 kg leaps from a stationary hot air balloon. Use Eq. (1.9) to
compute velocity for the first 12 s of free fall. Also determine the terminal velocity that will be
attained for an infinitely long cord (or alternatively, the jumpmaster is having a particularly bad
day!). Use a drag coefficient of 0.25 kg/m.
dv
Еg. (1.9)
g-
m
dt
Transcribed Image Text:Use calculus to solve Eq. (1.21) for the case where the initial velocity is (a) positive and (b) negative. (c) Based on your results for (a) and (b), perform the same computation as in Example 1.1 but with an initial velocity of -40 m/s. Compute values of the velocity from t = 0 to 12 s at intervals of 2 s. Note that for this case, the zero velocity occurs at t= 3.470239 s. Eq. 1.21: dv =g-d. 2 dt m Example 1.1 Problem Statement: A bungee jumper with a mass of 68.1 kg leaps from a stationary hot air balloon. Use Eq. (1.9) to compute velocity for the first 12 s of free fall. Also determine the terminal velocity that will be attained for an infinitely long cord (or alternatively, the jumpmaster is having a particularly bad day!). Use a drag coefficient of 0.25 kg/m. dv Еg. (1.9) g- m dt
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