The formula for kinetic energy (KE) is given by:
\[ KE = \frac{1}{2} mv^2 \]
where:
- \( m \) is the mass (in kilograms),
- \( v \) is the velocity (in meters per second).
Given:
- Mass \( m = 1,088 \) kg
- Velocity \( v = 33 \) m/s
Now, we can substitute the values into the formula:
\[ KE = \frac{1}{2} \times 1,088 , \text{kg} \times (33 , \text{m/s})^2 \]
Calculating \( (33 , \text{m/s})^2 \):
\[ (33 , \text{m/s})^2 = 1,089 , \text{m}^2/\text{s}^2 \]
Now plug that back into the kinetic energy formula:
\[ KE = \frac{1}{2} \times 1,088 , \text{kg} \times 1,089 , \text{m}^2/\text{s}^2 \]
Calculating the product:
\[ KE = 544 , \text{kg} \times 1,089 , \text{m}^2/\text{s}^2 = 592,416 , \text{J} \]
Thus, the kinetic energy of the car at the bottom of the hill is:
\[ \text{KE} = 592,416 , \text{J} \]
The correct response is:
592,416 J