Math  /  Calculus

QuestionThis is Section 4.4 Problem 54: PREVIOUS ANSWER
Two cars enter a freeway at the same time. The velocities, measured by miles per minute, of Car A and CarBt\mathrm{Car} \mathrm{B} t minutes after entering the freeway are given by vA(t)=0.4+0.2t0.02t2,0t5vB(t)=0.1+0.3t0.02t2,0t5\begin{array}{l} v_{A}(t)=0.4+0.2 t-0.02 t^{2}, 0 \leq t \leq 5 \\ v_{B}(t)=0.1+0.3 t-0.02 t^{2}, 0 \leq t \leq 5 \end{array}
At the end of 5 minutes of driving, Car A has traveled \square miles, and Car B has traveled \square miles. Hence CarA \checkmark \checkmark is ahead of Car B \checkmark \checkmark by \square Hint: Follow Example 5. Additional Materials ebook

Studdy Solution
After 5 minutes, Car A has traveled 113\frac{11}{3} miles, and Car B has traveled 4112\frac{41}{12} miles.
Car A is ahead of Car B by 14\frac{1}{4} miles.

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