The object will reach a height of 90ft
To solve this exercise we are going to use the discriminant of the quadratic polynomial ax²+bx+c=0, which is b²-4ac.
If the discriminant is negative, then there are no real solutions to the equation.
If the discriminant is zero, there is only one solution.
If the discriminant is positive, there are two real solutions.
We have the equation h(t)=18t-16t² which describes the model of the height h (feet) reached in t (seconds) by an object propelled straight up from the ground at a speed of 80 ft/s. We want to use the discriminant to find whether the object will ever reach a height of 90ft.
First, we have to rewrite the equation to the form ax²+bx+c=0 and we know the height that is possible to reach for the object h=90ft.
90 = 80t-16t² ----------> -16t²+80t-90=0
Using the discriminan equation D = b²- 4ac.
From the quadratic polynomial -16t²+80t-90=0, we have a = -16, b = 80, and c = -90
D = (80)² - 4 (-16)(-90)
D = 6400 - 5760 = 640
Since the discriminant D is positive, the object will reach a height of 90ft.
I just got %100 on my quiz, the answer is d(wind flow and temperature
Answer:
well i just needed the achievement
Explanation:
Answer:
A.) gas is matter, and therefore has mass
Explanation:
The principle illustrated in this scenario is a. gas is matter, and therefore has mass.
When the air from one balloon is released, it creates a flow of gas in one direction. According to the principle of gas having mass, the released gas exerts a force on the hanger, causing it to tilt. This demonstrates that gas is matter and has mass.
It's important to note that gas does have volume, which can be measured. This is not the principle being illustrated in this scenario.
The principle of released gas having a higher temperature than inert gas is not applicable in this scenario, as no information is given about the temperatures of the gases involved.
The principle of matter may never be destroyed is a general principle in physics and does not specifically apply to this scenario.