Cameron is located 2 miles due East of an intersection between two country roads

Question

Cameron is located 2 miles due East of an intersection between two country roads. He decides to walk/jog in a straight line (cross-country) toward a position 6 miles due North of the intersection; it takes Cameron one hour to reach that location. The formula for the distance between Cameron and the intersection at time t hours is

(a) At time t=1 hour, the (instantaneous) rate of change of the distance between Cameron and the intersection is 6 mph.

(b) If v(t)=d'(t) is the instantaneous rate of change of d(t) at time t, then the formula for v(t) is v(t)=____

e) At time ___ hours, the (instantaneous) rate of change of the distance between Cameron and the intersection is 0 mph.

Explanation / Answer

Please check the below link for the answer :

http://imgur.com/Dx9cPr8

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