Given a position function for an object, under which of these conditions is the object’s speed decreasing? (1 point) Responses when the velocity is negative and decreasing when the velocity is negative and decreasing when the velocity is positive and increasing when the velocity is positive and increasing when the velocity is negative and the acceleration is negative when the velocity is negative and the acceleration is negative when the velocity is negative and the acceleration is positive when the velocity is negative and the acceleration is positive when the velocity is negative and the acceleration is zero
The object's speed is decreasing under the condition when the velocity is positive and decreasing.
The object's speed is decreasing when the velocity is negative and the acceleration is positive.
To determine when the object's speed is decreasing, you need to consider the relationship between velocity and acceleration.
1. When the velocity is negative and decreasing: In this case, the object is moving in the negative direction (opposite to the positive direction) and slowing down. The speed is decreasing.
2. When the velocity is positive and increasing: Here, the object is moving in the positive direction (same as the positive direction) and accelerating. The speed is increasing, so it's not decreasing.
3. When the velocity is negative and the acceleration is negative: In this scenario, the object is moving in the negative direction and experiencing negative acceleration. The negative acceleration acts against the motion and decreases the speed further.
4. When the velocity is negative and the acceleration is positive: In this case, the object is moving in the negative direction and experiencing positive acceleration. The acceleration acts in the same direction as the motion, trying to increase the speed. Therefore, the speed is not decreasing.
5. When the velocity is negative and the acceleration is zero: Here, the object is moving in the negative direction with zero acceleration. Zero acceleration implies that there is neither an increase nor a decrease in speed. So, the speed is not decreasing.
Based on the conditions given, the object's speed is decreasing when the velocity is negative and decreasing, as well as when the velocity is negative and the acceleration is negative.