Final answer:
To find the solar-powered car's velocity, we use the kinetic energy formula, rearrange it to solve for velocity, and calculate that it is travelling at 35 m/s.
Step-by-step explanation:
To determine how fast the solar-powered car is travelling, we can use the formula for kinetic energy (KE), which is given by:
KE = \( \frac{1}{2}mv^2 \)
Where:
- m is the mass of the car
- v is the velocity of the car
- KE is the kinetic energy of the car
We know:
Let's solve for v:
\( v = \sqrt{\frac{2 \cdot KE}{m}} \)
\( v = \sqrt{\frac{2 \cdot 110250}{180}} \)
\( v = \sqrt{1225} \)
v = 35 m/s
The solar-powered car is travelling at 35 meters per second.