Question 196985
Santiago is walking to school, which is straight down the road 500m from his home.
Draw an x/y coordinate system.
Let the x-axis be "time"
Let the y-axis be "distance from the house".
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 He starts out by walking at 2m/s for 2 minutes until he gets to a stop light. He waits 30 seconds and then realizes that he has left an important essay at the front door, so he runs home at 5m/s. He had forgotten his keys, so he bangs on the door for 3 minutes until his brother Tomas answers. He grabs his essay and runs to school without stopping at 4m/s, arriving just as the warning bell rings.
Mark a point on the x axis for 120 seconds (2 minutes):
Equation on interval [0,120] is y = 2x  
At the end of that time he is 240 meters from the house.
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He waits 30 seconds so put a mark at x = 150
Equation on interval [120.150] is y = 240
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He returns home at 5m/s.
240 m at 5m/s takes 240/5 = 48 seconds
Put a mark on the x-axis at 198 seconds.
Equation on the interval [150,198] is y = -5x
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He stands at the door for 3 min = 180 seconds.
Put a mark at 198+180 = 378 seconds
Equation on the interval [198,378] is y = 0
etc.
I hope you get the idea of how to continue.
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Cheers,
Stan H.



Provide an equation for each situation and then using appropriate scales, draw thr graph that represents Santiago's journey. Include all equations and time intervals. (7 marks: 1 mark per equation and 2 marks for the graph)
Note: If you could help me with the equations, I could graph them myself.