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 \( \boxed{6.0 , \text{m/s}^2} \).