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Rates, SM-Bank 099

The distance-time graph below shows Clive's walk home from school.

  1. How far did Clive walk in the first minute?  (1 mark)

  2. How far had Clive walked before he stopped to wait for the traffic lights to change to green?  (1 mark)

  3. How far is Clive's home from the school?  (1 mark)

  4. What was Clive's average speed during the first 2 minutes?  (2 marks)

  5. What was Clive's average speed for the entire trip?  (2 marks)

  6. During which times is the graph the steepest? What can you say about Clive's speed in this section? (2 marks)

Show Answers Only

a.    \(40\ \text{m}\)

b.    \(240\ \text{m}\)

c.    \(320\ \text{m}\)

d.    \(40\ \text{m/minute}\)

e.    \(64\ \text{m/minute}\)

f.    \(\text{The graph was steepest between the 2nd and 3rd minutes.}\)

\(\text{This is where Clive was walking the fastest.}\)

Show Worked Solution

a.    \(40\ \text{m}\)

b.    \(240\ \text{m}\)

c.    \(320\ \text{m}\)

d.    
\(\text{Speed}\) \(=\dfrac{\text{Distance}}{\text{Time}}\)
    \(=\dfrac{80}{2}\)
    \(=40\ \text{m/minute}\)

 

e.    
\(\text{Speed}\) \(=\dfrac{\text{Distance}}{\text{Time}}\)
    \(=\dfrac{320}{5}\)
    \(=64\ \text{m/minute}\)

 
f.    \(\text{The graph was steepest between the 2nd and 3rd minutes.}\)

\(\text{This is where Clive was walking the fastest.}\)