How can you determine the distance moved by a car from it's velocity time graph.
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Answer: Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.
The y axis shows velocity in metres per second and the x axis time in seconds. The object increases its velocity from 0 metres per second to 8 metres per second in 4 seconds.
Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
1. Find the area of the triangle:
½ × base × height
½ × 4 × 8 = 16 m2
2. Find the area of the rectangle:
(10 – 4) × 8 = 48 m2
3. Add the areas together to find the total displacement:
(16 + 48) = 64 m
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