If an Object Is Dropped from a High Cliff or a Tall

question 43

Essay

If an object is dropped from a high cliff or a tall building, then the distance it has fallen after t seconds is given by the function $f ( t ) = 16 t ^ { 2 }$
Find its average speed (average rate of change) over the following intervals:
(i) Between 2 s and 7 s
(ii) Between $t = c \text { and } t = c + h$

---

Definitions:

Middle-Aged Adults

Individuals who are typically between the ages of approximately 40 and 65, often experiencing transitions in physical health, occupations, and family dynamics.

Midlife Crisis

A period of emotional turmoil in middle age characterized by a desire for change, often sparked by a recognition of one's mortality and unfulfilled aspirations.

Levinson

A psychologist known for his theory on adult development, outlining stages and transitions across the lifespan, including early adult transition and mid-life crisis.

Age-Denying Behaviors

Actions undertaken to resist or minimize the appearance or effects of aging.