Question

A car travelling at a constant speed of 80km/hr is not accelerating (speeding up or slowing down).

Answer 1

The car is not accelerating because it is moving at a constant speed of 80 km/hr. Acceleration is the rate of change of velocity, and since velocity is a vector quantity with both magnitude and direction, a constant speed implies zero acceleration.

Step-by-step explanation:

Acceleration a is defined as the rate of change of velocity v with respect to time t, mathematically expressed as
`\(a = (dv)/(dt)\)`. When the velocity is constant, the derivative
`\((dv )/(dt)\)`is zero, indicating zero acceleration.

In this case, the car is traveling at a constant speed of 80 km/hr. Since speed is the magnitude of velocity and doesn't provide information about direction, a constant speed implies that the car is not accelerating. If the car were to speed up or slow down, its velocity would be changing, and acceleration would be present.

In summary, the absence of information about the car changing its speed or direction leads to the conclusion that the car is not accelerating. Constant speed, by definition, means zero acceleration.