Question

Help plz i dont get it

Answer 1

Hello,

The depth of the snow increases with the time (t) : h=B*t
The speed is inversely proportional to the depth of snow
v=A/h=A/(Bt)=k/t
==>v=dx/dt)=k/t

In the period of 6 am to 8 am: if T is the time of the begining of the fallen snow:


`1= \int\limits^(T+2)_(T) { (k)/(t) } \, dt =k*ln( (T+2)/(T) )`

Further,

`1= \int\limits^(T+2+3.5)_(T+2) { (k)/(t) } \, dt =k*ln( (T+5.5)/(T+2) )\\ ==\textgreater\ (T+5.5)/(T+2) = (T+2)/(T) \\ ==\textgreater\ T= (4)/(1.5) =2+ (2)/(3) h`