A bus driver drives at a constant speed which is indicated by the speedometer and the driver measures the time taken by the bus for every kilometre. He prepares the data table after this so that he has a clear understanding of everything.
a) Plot the distance- time graph using the given table on a graph sheet. b) Also Plot Speed- time graph after calculating the speed of the driver at different time intervals using slope.
c) Observe the two graphs plotted in part (a) and (b) and Identify the motion exhibited by the driver.
d) Also Calculate the distance covered by the body after 1 hour if he continues to move with same speed.
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Science > Motion and Time > Measurement of Speed and Distance-Time Graph
Motion and Time
Measurement of Speed and Distance-Time Graph
The distance you cover and the time you take to cover that distance are always at the back of your mind while traveling. The faster your vehicle will move the faster you will finish with traveling. Speed, distance and time are closely related to each other. In this part, we shall have a glimpse of the relation between the three and also help you chalk out a Distance Time graph.
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Measurement of Speed
Speed is a very common word and is used to signify a slow or fast motion of an object. By motion here we mean, change in the position of the object in a certain interval of time. A unit distance covered in a unit interval of time is called speed. Suppose we say the speed of a bus is 45 km/h, we intend to say that the bus has covered a distance of 45 km in one hour.
distance time graph
How do we measure speed for any vehicle? It’s simple, keeping a track of the distance covered and time taken let’s you know the speed. For example: If a car takes 4 hours to cover 80 km then the average speed of the car is 80/4 = 20. The speed here is 20 km/h.
Vehicles have meters in them to measure speed and distance both. The meter that measures speed is called the speedometer while the meter that measures distance is called the odometer. Both these meters are present near the ignition point of every vehicle.
Distance Time graph
Before learning about the distance-time graph let us discuss the types of graphs. Graphs are basically of three types:
Bar Graph is a graph represented by vertical rectangular blocks. Each block in the graph represents a reading.
Piechart is a pie like a graph that represents the data on a circular pie-like chart.
The line graph represents the different findings of the data in the form of lines.
The distance Time graph is a line graph that denotes the distance versus time findings on the graph. Drawing a distance-time graph is simple. For this, we first take a sheet of graph paper and draw two perpendicular lines on it conjoining at O. The horizontal line is the X-axis, while the verticle line is the Y-axis. On these axes, we write the quantities or readings of our observation. Now let’s take a few observations of a traveling car:
S.no. Time Distance
1 0 0
2 5min 10km
3 10min 20km
4 15min 30km
5 20min 40km
Using the above information our graph shall be as follows:
distance time graph
Now when we draw a graph, we take our observations on any axis, here we have taken distance on the x-axis while time on the y-axis. Point O is a zero (o) i.e our point of departure or beginning. Nowhere we notice that the line when joined with our different observations, is a slant line. This shows that the speed during the course of traveling is constant.