To calculate the kinetic energy (KE) of the vehicle, we will use the formula:
\[ \text{kinetic energy} = \frac{1}{2} \times \text{mass} \times \text{speed}^2 \]
Given:
- mass = 700 kg
- speed = 6 m/s
Now, substituting the values into the formula:
\[ \text{kinetic energy} = \frac{1}{2} \times 700 , \text{kg} \times (6 , \text{m/s})^2 \]
Calculating the speed squared:
\[ (6 , \text{m/s})^2 = 36 , \text{m}^2/\text{s}^2 \]
Now, plug this value into the formula:
\[ \text{kinetic energy} = \frac{1}{2} \times 700 , \text{kg} \times 36 , \text{m}^2/\text{s}^2 \]
\[ = \frac{1}{2} \times 25200 , \text{kg} \cdot \text{m}^2/\text{s}^2 \]
\[ = 12600 , \text{J} \]
So, the kinetic energy of the vehicle is 12,600 J.