Given an initial infiltration capacity f0 of 3.0 in/hr and a time constant k of 0.29 hr-1. drive an infiltration capacityversus time curve if the ultimate infiltration capacity is 0.55 in./hr. for the first 10 hours.

a). estimate the total depth of water infiltrated in inches over the watershed assuming that the rainfall intensity, i(t)=3.2 in/hr for a one hour duration storm

b). estimate the total depth of water infiltrated if i(t)=0.75 in/hr for a ten hour storm.

c). estimate the total depth of water infiltrated over the watershed if a two hour storm was 0.5 in/hr from 1: 00-2: 00, 1 in/hr for 2: 00-3: 00, 5 in/hr for 3: 00 to 3: 30.

d). calculate the phi index for the storms in a-c, if the watershed is 2000 ac.