Question

A football player kicks a 0.94 kg football with a force of 2.4 N.

Calculate the acceleration of the football as the player kicks the ball. Round your answer to the nearest tenth of a m/s2.

The acceleration of the football is
m/s2.

Answer 1

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**.