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Answered

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A car accelerates from 20 m/s to 30m/s in 10s
,draw velocity time graph to show cars motion.find the distance its travels by calculating the area under the graphing?​

Sagot :

KimYurii

Answer:

250 m

Explanation:

Refer to the attachment for the graph. Here, we are asked to calculate the distance travelled.

⇒ Area under the graph = Distance travelled by the body

  • Let the distance travelled by the body be S. Area under the graph will be the area of the trapezium ABCD.

Area of trapezium = ½ × Sum of parallel sides × Height

[tex] \twoheadrightarrow \quad \sf {S = \dfrac{1}{2}\times (AD + BC) \times OC} \\ [/tex]

[tex] \twoheadrightarrow \quad \sf {S = \dfrac{1}{\cancel{2}}\times (10+30) \times \cancel{10}} \\ [/tex]

[tex] \twoheadrightarrow \quad \sf {S = 1\times 50 \times 5} \\ [/tex]

[tex]\twoheadrightarrow \quad \boxed{\red{\sf{ S = 250 \; m}}}\\[/tex]

❝ Therefore, distance travelled by the body is 250 m. ❞

View image KimYurii
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