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A sprinter starts from rest and accelerates to 10. m/sec in a time interval of 1.0 seconds, Calculate the runner's acceleration

during this time interval

Sagot :

Lanuel

The runner's acceleration during this time interval is 10 [tex]m/s^2[/tex]

Given the following data:

  • Initial velocity, U = 0 m/s (since the sprinter is starting from rest).
  • Final velocity, V = 10.0 m/s
  • Time, t = 1.0 seconds.

To calculate the runner's acceleration during this time interval, we would use the first equation of motion;

Mathematically, the first equation of motion is calculated by using the formula;

[tex]V = U + at[/tex]

Where:

  • a is the acceleration.
  • V is the final velocity.
  • U is the initial velocity.
  • t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]10 = 0 + a(1)\\\\10 = a[/tex]

Therefore, the runner's acceleration during this time interval is 10 [tex]m/s^2[/tex]

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