Snow begins falling at time hours

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Snow begins falling at time

t=0

hours. For

0\le t\le4

, the snowfall rate

s(t)

(in cm/hr) increases linearly from

0

t=0

h

t=4

. For

4< t\le6

, the rate remains constant at

3\text{ cm/hr}

. If a total of

14\text{ cm}

of snow accumulates during the first

6

hours, determine the value of

h