An infinitely stretchable rubber-band has one end attached to the wall and the other end it attached to a scooter being driven Prof. Templeton. The good Prof. drives away from the wall at a constant speed of 1 meter per second. Starting from the wall and walking out onto the rubber-band is a bug. The bug travels at a constant speed of 1 cm per second. Both start moving at the same time in the same direction. The Prof. moves away from the wall perpendicularly and the bug moves along the stretching rubber-band away from the wall toward the Prof. Let’s assume the rubber-band is perpendicular to the wall with no angle of incidence (all along one plane) and the bug is a point on a line initially at distance 0 from the wall.

Will the bug ever reach Prof. Templeton, and if so can you tell how long it will take?

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## Prof. Templeton 10

An infinitely stretchable rubber-band has one end attached to the wall and the other end it attached to a scooter being driven Prof. Templeton. The good Prof. drives away from the wall at a constant speed of 1 meter per second. Starting from the wall and walking out onto the rubber-band is a bug. The bug travels at a constant speed of 1 cm per second. Both start moving at the same time in the same direction. The Prof. moves away from the wall perpendicularly and the bug moves along the stretching rubber-band away from the wall toward the Prof. Let’s assume the rubber-band is perpendicular to the wall with no angle of incidence (all along one plane) and the bug is a point on a line initially at distance 0 from the wall.

Will the bug ever reach Prof. Templeton, and if so can you tell how long it will take?

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