Standard Form and Compound Interest - Converting Metric Prefixes Using Powers of Ten

Standard Form and Compound Interest - Converting Metric Prefixes Using Powers of Ten

IP 2
3 marks

Sound travels \(330\) metres in \(1\) second.

  1. Express the speed of sound in kilometres per second, giving your answer in standard form.[1]
  2. A ship wanted to use ultrasonic sound wave to detect the depth of the sea from the sea level. It sent out a sound wave and received its echo in \(9.5 \times 10^6\) microseconds. Find the depth of the sea from the sea level, give your answer in standard form.
    (\(1\text{ microsecond} = 1 \times 10^{-6}\text{ second}\))[2]

Solution:

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Answer:(a) \(3.3\times10^{-1}\text{ km/s}\). (b) \(1.5675\times10^3\text{ m}\).

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