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Conversion of Speed-Time Graph to Distance-Time Graph

Conversion of Speed-Time Graph to Distance-Time Graph

TGM Original

A truck travels at a constant speed of \(20\) m/s for \(10\) seconds.

It then decelerates at a constant rate to rest in ten seconds.

  1. Find
    1. the acceleration of the truck during the last \(10\) seconds,
    2. the total distance travelled by the truck in the \(20\) seconds.
  2. On the axes below, draw
    1. the speed-time graph for the whole journey of the truck,
      Sub-item image
    2. the distance-time graph for the whole journey of the truck.
      Sub-item image

Solution:

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Answer:(a)(i) \(-2\text{ m/s}^2\). (ii) \(300\text{ m}\). (b)(i) See speed–time sketch. (ii) See distance–time sketch; key points \((0,0)\), \((10,200)\), \((20,300)\).

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