contestada

Suppose that you are asked to find a quadratic regression to model the height of a ball above the ground after it has been thrown. Based on the context of the problem, what would the x- and y- intercepts represent?

Respuesta :

jbmow
Given yo = initial height the ball was thrown from.
Given vo = the initial velocity of the ball thrown

y = yo + (vo)t -16t^2 where t = time.

This is a parabola opening downward.

There is no y intercept as the ball is thrown upwards upwards not necessarily straight vertically.

The x-intercepts occur when the ball reaches the level the ball was thrown from or the ground.
ashishdwivedilVT

The x and y-intercepts represent the time at which the object will hit the ground and the initial height of the object respectively.

As we know the relation between height and time for a projectile motion,

[tex]h = h'+ut - \frac{1}{2} g t^2[/tex].......eq1

Where h' is the initial height of the object.

Here, the y-axis represents the height

And the x-axis represents the time.

What is a projectile motion?

Projectile motion is the motion of an object projected vertically upward into the air and moving under the influence of gravity.

For y-intercept put t= 0 in eq1

Eq1 becomes h =h'

So, the y-intercept represents the initial height (if any)

For x-intercept put h = 0 in eq1

We get a quadratic equation having two distinct values of t

These values represent the time at which an object will hit the ground.

Therefore, the x and y-intercepts represent the time at which the object will hit the ground and the initial height of the object respectively.

To get more about projectile motion visit:

https://brainly.com/question/24216590

Otras preguntas