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if the rate of continental drift were to abruptly slow down from 1.0 cm/y to 0.5 cm/y over the time interval of a year, what would be the average acceleration​

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If the rate of continental drift were to abruptly slow down in the given time time interval, the average acceleration will be -0.5cm/y²

Given the data in the question;

  • Initial velocity; [tex]u = 1.0cm/y[/tex]
  • Final velocity; [tex]v = 0.5cm/y[/tex]
  • Time; [tex]t = 1y[/tex]

Average acceleration; [tex]a= ?[/tex]

To determine the average acceleration, we use the First Equation of Motion: ​​

[tex]v = u + at[/tex]

Where, v is the final velocity, u is the initial velocity, t is the time and a is the acceleration.

We make "a" the subject of the formula

[tex]a = \frac{v-u}{t}[/tex]

We substitute our given values into the equation

[tex]a = \frac{0.5cm/y\ -\ 1.0cm/y}{1y} \\\\a = \frac{-0.5cm/y}{1y}\\\\a = -0.5cm/y^2[/tex]

[the negative sign represent retar. or negative acceleration]

Therefore, if the rate of continental drift were to abruptly slow down in the given time time interval, the average acceleration will be -0.5cm/y²

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