g If the car has a mass of 124 g and it reaches a maximum vertical height of 1.40 m above the floor, what was the speed of the car while it was moving along the floor

The car was moving at a speed of approximately 5.240 meters per second along the floor.

Explanation:

Let suppose that the car represents a conservative system, that is, that all non-conservative forces (i.e. friction, air viscosity) can be neglected. The initial speed of the vehicle can be determined by means of the Principle of Energy Conservation, which states that:

(1)

Where:

- Initial translational kinetic energy, measured in joules.

- Final gravitational potential energy, measured in joules.

By definitions of translational kinetic energy and gravitational potential energy, we expand the equation above:

(2)

Where:

- Mass, measured in kilograms.

- Gravitational acceleration, measured in meters per square second.

- Initial speed of the car, measured in meters per second.

- Final vertical height of the car, measured in meters.

If we know that , and , then the initial speed of the car is:

The car was moving at a speed of approximately 5.240 meters per second along the floor.