An object initially traveling at a velocity of 20.0 meters per second undergoes uniform acceleration for 5.0 seconds, reaching a final velocity of 50.0 meters per second. What is the acceleration of the object?

1 answer

To find the acceleration of the object, we can use the formula for acceleration, which is defined as the change in velocity divided by the time taken for that change:

\[ a = \frac{v_f - v_i}{t} \]

where:

  • \( a \) is the acceleration,
  • \( v_f \) is the final velocity,
  • \( v_i \) is the initial velocity,
  • \( t \) is the time interval.

Given the values:

  • Initial velocity (\( v_i \)) = 20.0 m/s
  • Final velocity (\( v_f \)) = 50.0 m/s
  • Time (\( t \)) = 5.0 s

Substituting these values into the formula:

\[ a = \frac{50.0 , \text{m/s} - 20.0 , \text{m/s}}{5.0 , \text{s}} \]

Calculating the change in velocity:

\[ a = \frac{30.0 , \text{m/s}}{5.0 , \text{s}} \]

Now performing the division:

\[ a = 6.0 , \text{m/s}^2 \]

Thus, the acceleration of the object is \( \boxed{6.0 , \text{m/s}^2} \).