0 cm 20 cm 40 cm 60 cm 80 cm 100 cm 4 cm 12 cm 20 cm 28 cm 36 cm Time Interval Total Distance Travelled from Start (cm) Distance Travelled during Time Interval (cm) 0 to 2 4 2 to 4 16 4 to 6 36 6 to 8 64 8 to 10 100ĥ Why does this happen? 0 cm 20 cm 40 cm 60 cm 80 cm 100 cm Time Interval Total Distance Travelled from Start (cm) Distance Travelled during Time Interval (cm) 0 to 2 4 2 to 4 16 12 4 to 6 36 20 6 to 8 64 28 8 to 10 100 Since the direction of motion and the uniform acceleration of your cart are in the same direction the cart is speeding up. Both showed that as your time increased the distance traveled by your cart in equal time intervals increased. You now have a motion diagram for your accelerated cart!!!! 0 cm 20 cm 40 cm 60 cm 80 cm 100 cmĤ Your graph and your motion diagram showed the same relationship between distance and time. Then you plotted distances at equal time intervals on your scale. When you graphed your data, it should have looked something like this.ģ Your Acceleration Lab You were also asked to do a motion diagram for your cart. Your Acceleration Lab In your lab you allowed your cart to accelerate uniformly from rest and compared the distance it travelled with time. Notes on Motion V Acceleration & Distance Uniform Acceleration, Starting from restĢ When you graphed your data, it should have looked something like this. Hence the speed-time graph of the object is as shown in fig 8.1 Acceleration & Distance Uniform Acceleration, Starting from rest In fig 7 below we have a distance-time graph that shows an object that is moving as a result the distance travelled is increasing.Īs we know the gradient of the graph is the speed and since the gradient is increasing then is it means that the speed is increasing. Hence the speed-time graph is as shown in fig 6.Ĥ. From the graph the gradient is a constant value but is not zero. Fig 5 below is a distance-time graph that shows an objects moving and the distance travelled is increasing. The speed-time graph would thus be as shown in fig 4 below.ģ. The gradient of the graph is thus 0 which means that the speed is also 0 m/s from 0 s to t s. We can thus assume that the object is stationary. Fig 3 below is a distance-time graph that shows an object whose distance travelled is constant form 0 s to time t s. The speed-time graph is thus as shown in fig 2.Ģ. The gradient of the graph is 0, hence it means that form time o s to time t s, the speed is 0 m/s. This means that the object has not moved at all and as a result it is motionless at the starting point. Fig 1 below shows a distance-time graph shows that the distance travelled by the object from time 0 s to t s is 0 m. We will then look at the corresponding speed-time graph for the object.ġ.
Let us now look at some distance-time graph and see how the speed varies with time. Hence you must be able to deduce how the speed of an object varies according to the shape of its distance time graph. We have seen in this post the gradient of the distance-time graph is the speed.
As we have seen in this post on distance-time graph, it is easier to extract information from a distance-time graph than from a paragraph or from a table of time and distance travelled.
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