A car accelerates uniformly from rest to a speed of 10 meters per second in 2 seconds.
The acceleration of the car is?


Respuesta :

The acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².

Given the data in the question

Since the car was initially at rest

  • Initial velocity; [tex]u = 0m/s[/tex]
  • Final velocity; [tex]v = 10m/s[/tex]
  • Time taken; [tex]t = 2s[/tex]

Acceleration of the car; [tex]a = \ ?[/tex]

Using the First Equation of Motion:

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

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

We substitute our given values into the equation and solve for "a"

[tex]10m/s = 0m/s\ +\ ( a * 2s ) \\\\10m/s = a * 2s\\\\a = \frac{10m/s}{2s}\\\\a = 5m/s^2[/tex]

Therefore, the acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².

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