Final answer:
The question regarding Mel's rate of change has typographical errors, making it unclear, while Vivian's velocity of 1 m/s indicates her position increases by 1 meter every second. Deceleration is an acceleration in the opposite direction of velocity, and Uy and gravitational acceleration are important factors in motion physics problems.
Step-by-step explanation:
Mel's rate of change is given as –5–1/5 in unspecified units, which could imply a rate of change of height over time, possibly indicating a decrease of 5 feet every second. However, the question seems to have typographical errors that make it difficult to understand the correct value or context. Without the correct information, we cannot calculate the exact rate of change or deduce further details about Mel's motion.
For Vivian's case, we know that a velocity of 1 m/s means that her position increases by 1 meter every second. Therefore, after 50 seconds, Vivian would be 50 meters away from her starting position, assuming she maintains a constant velocity in a straight line without changing direction or stopping.
When discussing forces and motion, the term deceleration often implies acceleration in a direction opposite to the velocity. The example given, –15 × 10² m/s², is a rate of change of velocity and is significantly greater than the typical deceleration experienced by falling pilots.
In the context of physics problems such as jumping off a cliff or a ball being thrown, the initial upward velocity (Uy) and the acceleration due to gravity are key factors determining the motion's characteristics. In a vacuum, an object that is dropped will accelerate downwards due to gravity, gaining speed at the rate of 9.8 m/s² on Earth, until it impacts the ground or reaches terminal velocity if air resistance is considered.