Distance-Time Graphs Applied Physics 11. Distance-Time Graphs  Distance-time graphs are a way to visually show a collection of data.  They allow us.

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Presentation transcript:

Distance-Time Graphs Applied Physics 11

Distance-Time Graphs  Distance-time graphs are a way to visually show a collection of data.  They allow us to get a visual understanding of speed.  X-axis  time  Y-axis  distance

Time (s)Distance (m)

Slope  The proper equation for a line is y=mx + b  The y is the dependant variable (on y -axis) The x is the independent variable (on x-axis) The m is the slope of the line The b is the y intercept of the line.

Slope in a distance-time graph  In a distance-time graph the equation changes from  y= mx + b  d = vt  d is the dependant variable, lying on the y axis.  t (time) is the independant variable and lies on the x axis.  v (speed) is the slope of the line.  0 (the initial distance) is the y intercept.

Slope and Speed  In a distance time-graph, the slope determines the speed.  The steeper the slope, the greater the speed.  The object shown in graph A is travelling at a greater speed. It is covering a greater distance in a shorter time.

Finding speed from slope  Slope (or v) is equal to:  y/ Δ x  Δ d/ Δ t  Change in distance/change in time  RISE over RUN

Rise over Run  Δ d = d 2 –d 1  Δ d = 7.7km - 1.9km  Δ d = 5.8km  Δ t = t 2 – t 1  Δ t = 11.2min - 2.7min  Δ t = 8.5min  v = Δ d/ Δ t  v = 5.8/8.5  v=0.68km/min

p 364 Time (min)Distance (km) Time (min) Distance (m)

Time (min) Distance (km) Time (s) Distance (km)