MCV4U1 (5.3) - Related Rates (Day 3) Ex.) A man starts walking north at a speed of 1.5m/s and a woman starting at the same point walks west at a speed.

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Presentation transcript:

MCV4U1 (5.3) - Related Rates (Day 3) Ex.) A man starts walking north at a speed of 1.5m/s and a woman starting at the same point walks west at a speed of 2m/s. At what rate is the distance between them increasing after 5min? Ex.) A ladder 6m in length, leaning against a wall, begins to slide. How fast is the top of the ladder falling, when the bottom of the ladder is 4m from the wall and sliding at a speed of 50cm/s?

Ex.) A spotlight on the ground shines on a wall 10m away. A man 2m tall walks from the spotlight towards the wall at a speed of 1.2m/s. How fast is his shadow on the wall decreasing when he is 3m from the wall? Ex.) A man 1.7m tall walks away from a lamppost whose light is 4.5m above the ground. If he walks at a speed of 2.1m/s, at what rate is his shadow growing when he is 15m from the lamppost?

Homework: p #8 - 11, 19