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Problem

The v-t graph of a car while traveling along a road is shown. Draw the s-t and a-t graphs...

The v-t graph of a car while traveling along a road is shown. Draw the s-t and a-t graphs for the motion.

Step-by-Step Solution

Solution 1
Step #1 of 7

Acceleration is expressed as

For the interval, we have from and the graph

Step #2 of 7

For the interval, we have from and the graph

For the interval, we have from and the graph

Step #3 of 7

The graph is plotted based on the data and is as shown below

Step #4 of 7

Distance travelled by the car is the area under the graph.

We have for the intervalfrom the graph

Step #5 of 7

We have for the intervalfrom the graph

Step #6 of 7

We have for the intervalfrom the graph

Step #7 of 7

The graph is plotted based on the data and is as shown below:

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