Q2. A boy and a girl are 12 ft. apart from each other. Assume that they are movi

Question

Q2. A boy and a girl are 12 ft. apart from each other. Assume that they are moving in opposite directions with the intention of meeting each other. The boy is moving from his initial position 0 towards the girl at a speed of 2ft/sec and the girl is moving from her initial position 12 towards the boy at the speed of 1 ft. per minute. Write down the following expressions: 1. The rate of change of position x of the boy 2. The rate of change of the position y of the girl 3. The equation for the position x of the boy at any point in time as a function of time 4. The equation for the position y of the girl at point in time 5. At what distance the two will meet? 6. At what time will the two meet?

Explanation / Answer

1)dx/dt =2 or x = 2t 2)dy/dt = 1 or y = t 3) x = 2t 4) y = 12 - t 5) 8m from position 0 6) 4secs

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