kyleighfaust02 kyleighfaust02
  • 19-09-2020
  • Mathematics
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Stephanie starts out on run covering 100 m in 10 minutes. She then accelerates to a speed of 15 m/min in 10 seconds. What is her acceleration?

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 19-09-2020

Answer:

30 m/min²   (= 0.0833 m/s²)

Step-by-step explanation:

Initially,

Distance ran = 100 m

Time taken = 10 min

Average speed = Distance ran ÷ Time taken

= 100 ÷ 10

= 10 m/min

Hence here initial speed = 10 m/min

Given that her final speed was 15 m/min

her change in speed = 15 - 10 = 5 m / min

We are also given that  this change in speed  took 10 seconds = 1/6 min

Recall that by definition, acieration = rate of change of speed

= change in speed ÷ time taken for change

= 5 m/min ÷ (1/6) min

= 30 m/min²   (= 0.0833 m/s²)

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