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A stone that starts at rest is in free fall for 8.0 s. (Level 1) a. Calculate the stone’s velocity after 8.0 s. b. What is the stone’s displacement during this time?

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Lanuel

a. Velocity, V = 78.4 m/s

b. Displacement, S = 313.6 meters

Given the following data:

  • Initial velocity, U = 0 m/s (since the stone starts at rest)
  • Time, t = 8 seconds

Acceleration due to gravity, a = 9.8 meter per seconds square.

a. To find the the stone’s velocity after 8.0 s, we would use the first equation of motion;

Mathematically, the first equation of motion is given by the formula;

[tex]V = U + at\\\\V = 0 + 9.8[/tex] × [tex]8[/tex]

Velocity, V = 78.4 m/s

b. To find the the stone’s displacement during this time, we would use the second equation of motion;

[tex]S = ut + \frac{1}{2}at^2\\\\S = 0(8) + \frac{1}{2}(9.8)(8)^2\\\\S = 0 + \frac{1}{2}(9.8)(64)[/tex]

[tex]S = 4.9[/tex] × [tex]64[/tex]

Displacement, S = 313.6 meters

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