Fozzie the dog races Fluffy the cat around a circular flower bed with a radius o

Question

Fozzie the dog races Fluffy the cat around a circular flower bed with a radius of 13 feet. Both animals start at the same time from the 3 o'clock position and run counterclockwise. Fozzie runs at a constant speed of 5.7 feet per second and Fluffy runs at a constant speed of 3.8 feet per second.

How long does it take Fozzie to run a full lap around the flowerbed?

______________seconds

How long does it take Fluffy to run a full lap around the flowerbed?

_______seconds

Define a function, r , that gives the number of feet Fozzie has run from the 3 o'clock position in terms of the number of seconds since he started running,

_________t .

Define a function, w , that gives the number of feet Fluffy has run from the 3 o'clock position in terms of the number of seconds since he started running, t . Define a function, m , that gives the distance (in feet) between Fozzie and Fluffy in terms of the number of seconds since they started running,

__________t .

How long will it take for Fozzie to pass Fluffy (i.e., to be a full lap ahead of Fluffy)?

_______seconds

Fozzie the dog racea Fluffy the cat around a circular flower bed with a radius of 13 feet. Both animals start at the same time roan the 3 o'clock position and run counterclockwise. Fozzie rvns at a constant speed of 5.7 feet per secod and Fluffy runs at a constant speed of 3.8 feet per second. a. How long does it take Fozzic to run a full lap around the flowerbed? seconds Previen b. How long does it take Flufty to run a fiull lap around the tlowerbed? seconds Pview c. Define a functio n, r, that gives the n t umber of feet Fozzie has run from the 3 oclack fthe number of se he started running, t Preview d. Define a function, w, that gives the number of feet Fluffy has run fron the 3 o'clock position in tems of the numbe of seconds since he started running, t. Preview c. Define a function, m, that gives the distance in feet) between Fozzic and Fluffy in terms of the number of seconds since they started running, t. Preview f How long wll it take for Fozzie to pass Flufty (ie, to be a tull lap ahead of Fiutfy)? seconds Preview

Explanation / Answer

a)

time taken by fozzie to run a full lap = (2*13)/5.7 seconds

time taken by fozzie to run a full lap = 26/5.7   seconds

time taken by fozzie to run a full lap = 14.33   seconds

b)

time taken by fluffy to run a full lap = (2*13)/3.8 seconds

time taken by fluffy to run a full lap = 21.495   seconds

c)

r = 5.7 *t

d)

w = 3.8 *t

e)

m =5.7*t -3.8*t

m =1.9*t

f)

time taken = (2*13)/(5.7-3.8) seconds

time taken =  (2*13)/1.9   seconds

time taken = 43 seconds approximately

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