Question

Give an example where both the velocity and acceleration are negative.

Short answer

The velocity and acceleration are negative when the car is traveling in the negative x-direction and speeding up.

Step-by-step solution

Step 1. Meaning of velocity

The rate of change in the displacement of a body is known as the velocity of the body. It is a vector quantity.

In other words, the slope of the displacement versus time graph represents the velocity of the body.

Step 2. Citing an example where both the velocity and acceleration are negative

Consider the positive y-axis as the upward direction and the negative y-axis as the downward direction.

When an object is released from a certain height, it falls downward. The object's velocity is downward and negative while it is increasing in magnitude. Hence, the object’s acceleration is negative.

Therefore, the object falling from a certain height has negative velocity and negative acceleration.