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A penny is dropped off the top of the Stratosphere from rest and falls freely with the

acceleration due to gravity (9.81 m/s2). After 5 seconds, how far has it fallen (Ax)?

Sagot :

Lanuel

Answer:

S = 122.5m

Explanation:

Given the following data;

Acceleration due to gravity = 9.8m/s²

Time, t = 5 seconds

Since it's a free fall, initial velocity, u = 0

To find the displacement, we would use the second equation of motion given by the formula;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Where;

  • S represents the displacement or height measured in meters.
  • u represents the initial velocity measured in meters per seconds.
  • t represents the time measured in seconds.
  • a represents acceleration measured in meters per seconds square.

Substituting into the equation, we have;

[tex] S = 0*5 + \frac {1}{2}*(9.8)*5^{2}[/tex]

[tex] S = 0 + 4.9*25[/tex]

S = 122.5m.