On the countryside, lies an intersection of roads. 12 km North of the intersection is positioned Car A, moving north of the intersection at the rate of 90km/h. 6 km West of the intersection is positioned another Car B, moving towards the intersection at the rate of 72 km/h.
A.) Find the rate at which the distance, c, between cars A and B is increasing. Approximate your answer to the nearest hundreth.
B.) If the rate (dc/dt) at which the distance between vehicles A and B is increasing is numerically equivalent to the time required in hours for a bicycle to reach its destination, find the distance travelled by the bicycle given the following:
- S(t) = y
- S(0) = 4
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