Problem 8

Given information

Snow began to fall on february at constant rate

At 1pm, snow travels 6km

At 1pm -2pm, it travels 3km

let t be the time in hours

let x(t) be the distance travelled

the speed is given by dx/dt

let b be the no. of hours

R be the constant rate of removal in  

To find expression for height of snow  

Step-by-step explanation

the rate of height is given by

velocity is time derivative of position

x(t) is obtained by integrating the velocity,

at 1pm, it travels 6000m

------>1