rawan138 rawan138

25-04-2024
Mathematics

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A vertical cliff makes a perfectly straight shore line. A lighthouse is placed 200 metres off shore. The lighthouse's lamp shines a rotating beam of light. The lamp rotates and makes 3 revolutions each minute. During part of each revolution the lamp illuminates a moving spot on the cliff. (Use metres, seconds, and metres/second.)

a) How fast is the spot of light moving at the point on the cliff closest to the lighthouse?

b) How fast is the spot of light moving at the point on the cliff that is 200 metres from the point closest point to the lighthouse?

c) Where on the cliff is the spot of light moving at its slowest speed?

d) Where on the cliff is the spot of light moving 4 times its slowest speed?

Answer :

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