PLEASE CHECK ANSWER!! Which relationship shows a quadratic variation?
2 answers:
Answer:
Option D) shows quadratic variation.
Step-by-step explanation:
We are given the following information in the question:
- Variation refers to a relationship between two variables.
- There are a number of different types of variation, such as direct variation or inverse variation.
- Quadratic variation to describe a way in which two variables relate to one another.
- We could write quadratic variation as:
, where k is a constant.
Option D) is an example of quadratic variation and can be explained as:
For k = 3
Hence, Option D) shows a relation of quadratic variation.
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Answer:
The time taken for the upward motion is 1 second. The same time is taken for the downward motion
It reaches a maximum height of 4.9 meters.
Step-by-step explanation:
The equation of motion is:
Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.
Vertex of a quadratic equation:
Quadratic equation in the format
The vertex is the point , in which
In this question:
So
Vertex:
The time taken for the upward motion is 1 second.
It reaches a maximum height of 4.9 meters.
Downward motion:
From the vertex to the ground.
The ground is t when x = 0. So
Or
It reaches the ground when t = 2 seconds.
The downward motion started at the vertex, when t = 1.
So the duration of the downward motion is 2 - 1 = 1 second.