A sprinter accelerates from the starting line in the 100 meter dash at a rate of 7.0ft/s and reaches a velocity of 28.2 ft/s. What amount of time did it take to reach the final velocity?

Respuesta :

The time taken for the sprinter to reach the final velocity is 5.68 s.

What is velocity?

This can be defined as the ratio of displacement of a body to time. The S.I unit of velocity is m/s.

The time taken for the sprinter to reach its final velocity can be calculated using the formula below.

Formula

  • S = (v+u)t/2.................... Equation 1

Where:

  • S = Total distance covered by the sprinter
  • v = Final velocity
  • u = Initial velocity
  • t = time taken to reach its final velocity

make t the subject of the equation

  • t = 2S/(v+u)................. Equation 2

From the question,

Given:

  • S = 100 m
  • u = 7 ft/s
  • v = 28.2 ft/s

Substitute these values into equation 2

  • t = 2(100)/(28.2+7)
  • t = 200/35.2
  • t = 5.68 s

Hence, The time taken for the sprinter to reach the final velocity is 5.68s

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