Sure! Let's find out Kyle's kinetic energy using the given formula.
1. Identify the known values:
- Mass \( m \) of Kyle: \( 54 \) kg
- Velocity \( v \) at which Kyle is jogging: \( 3 \) m/s
2. Recall the formula for kinetic energy:
The formula to calculate kinetic energy (KE) is:
[tex]\[
KE = \frac{1}{2} m v^2
\][/tex]
3. Substitute the known values into the formula:
[tex]\[
KE = \frac{1}{2} \times 54 \, \text{kg} \times (3 \, \text{m/s})^2
\][/tex]
4. Perform the squared term first (order of operations):
[tex]\[
KE = \frac{1}{2} \times 54 \, \text{kg} \times 9 \, \text{m}^2/\text{s}^2
\][/tex]
Here, \( 3 \, \text{m/s} \) squared is \( 9 \, \text{m}^2/\text{s}^2 \).
5. Multiply the mass by the squared velocity:
[tex]\[
KE = \frac{1}{2} \times 486 \, \text{kg}\,\text{m}^2/\text{s}^2
\][/tex]
6. Finally, multiply by \(\frac{1}{2}\):
[tex]\[
KE = 243 \, \text{J}
\][/tex]
Kyle's kinetic energy is \( 243 \) Joules. Thus, the correct answer is:
[tex]\[
\boxed{243 \, \text{J}}
\][/tex]
