Starting from rest , an object rolls freely down an incline that is 10 meters long in 2 seconds. The acceleration of the object is aproproximately

Respuesta :

5 m/sec2 .....................................p
Lanuel

The acceleration of this object is 5 [tex]m/s^2[/tex].

Given the following data:

  • Initial velocity = 0 m/s (since the object starts from rest).
  • Distance = 10 meters
  • Time = 2 seconds.

To find the acceleration of the object, we would use the second equation of motion:

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

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

Where:

  • S represents the distance covered.
  • u is the initial velocity.
  • a represents the acceleration.
  • t is the time measured in seconds.

Substituting the parameters into the formula, we have;

[tex]10 = 0(2) + \frac{1}{2}a(2^2)\\\\10 = \frac{1}{2}a(4)\\\\10 = 2a\\\\a = \frac{10}{2}[/tex]

Acceleration, a = 5 [tex]m/s^2[/tex]

Therefore, the acceleration of this object is 5 [tex]m/s^2[/tex].

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