Two trains, Train A and Train B, are initially 3030 miles apart with Train A to the west of Train B. Train A moves east at a speed of 2020 mph, while Train B moves south at a speed of 1515 mph. Determine the function that represents the distance D between the two trains as a function of time tt, where t=0t=0 at the moment they start moving.

D(t)=625t2−1200t+900D(t)=\sqrt{$$625t^2 - 1200t + 900$$}, (in miles, for t≥0t\ge0)

D(t)=625t2+1200t+900D(t)=\sqrt{$$625t^2+1200t+900$$}, (in miles, for t≥0t\ge0)

D(t)=175t2−1200t+900D(t)=\sqrt{$$175t^2-1200t+900$$}, (in miles, for t≥0t\ge0)

D(t)=175t2+1200t+900D(t)=\sqrt{$$175t^2+1200t+900$$}, (in miles, for t≥0t\ge0)

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Problem 73Multiple Choice

Two trains, Train A and Train B, are initially $30$ miles apart with Train A to the west of Train B. Train A moves east at a speed of $20$ mph, while Train B moves south at a speed of $15$ mph. Determine the function that represents the distance D between the two trains as a function of time $t$ , where $t equals 0$ at the moment they start moving.

$D (t) = \sqrt{625 t^{2} + 1200 t + 900}$ , (in miles, for $t is greater than or equal to 0$ )

$D (t) = \sqrt{625 t^{2} - 1200 t + 900}$ , (in miles, for $t is greater than or equal to 0$ )

$D (t) = \sqrt{175 t^{2} - 1200 t + 900}$ , (in miles, for $t is greater than or equal to 0$ )

$D (t) = \sqrt{175 t^{2} + 1200 t + 900}$ , (in miles, for $t is greater than or equal to 0$ )

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