Yes, that's right
When a car accelerates, its velocity increases over time. This change in velocity is the result of a force being applied to the car, which causes it to speed up.
Energy stored in fuel
When a car accelerates, the primary forces at play are the force of friction between the tires and the road, which propels the car forward, and the force of inertia, which resists changes in motion. Additionally, the engine generates power to overcome these forces and propel the car forward.
Potential energy in a mouse trap car is stored in the tension of the mousetrap's spring. As the spring is wound or compressed, it gains potential energy due to the stored elastic potential energy. When the trap is released, this potential energy is converted into kinetic energy, propelling the car forward.
In the battery.
The energy stored in a car battery, or other cells or batteries, is chemical energy.
Energy conservation principles enable a car to move down the street by converting stored energy into kinetic energy. When the car's engine burns fuel or uses electricity, it releases energy that propels the vehicle forward. As the car accelerates, the energy is conserved in the form of motion, allowing it to travel down the street until friction and air resistance slow it down, at which point the driver must apply more energy to maintain speed. This process illustrates the transformation and conservation of energy in motion.
In a battery.
Stored Energy
It is usually the car's engine doing work.
Chemical energy in the gasoline is released by burning a mixture of 'atomized' gasoline and air. Most of the energy is used to heat the surrounding air, by means of the engine's cooling system. The remaining small part of the energy is used to turn the engine parts, which transfer the kinetic energy to the vehicle by way of the transmission and the wheels. When the vehicle needs to slow down or stop, the kinetic energy is instantly and efficiently used to heat more of the surrounding air, by means of the braking system.