To calculate the acceleration of the football, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass of the object (in kilograms), and
- \( a \) is the acceleration (in m/s²).
We can rearrange this equation to solve for acceleration:
\[ a = \frac{F}{m} \]
Now, we can plug in the values:
- \( F = 2.4 , \text{N} \)
- \( m = 0.94 , \text{kg} \)
Calculating the acceleration:
\[ a = \frac{2.4 , \text{N}}{0.94 , \text{kg}} \approx 2.5532 , \text{m/s}^2 \]
Rounding this to the nearest tenth:
\[ a \approx 2.6 , \text{m/s}^2 \]
Thus, the acceleration of the football is 2.6 m/s².