What is the answer ?

Given the acceleration, initial velocity, and initial position of a ball thrown vertically upward, how long does it take for it

kolbaska11 [484]

Answer:

$t = \frac{v_{o} }{g}$

ymax= y₀ + v₀²/2g

Explanation:

The equations of uniformly accelerated rectilinear motion of upward (vertical) for the y axis are :

vfy = v₀y-gt Formula (1)

vfy² = v₀y²-2gΔy Formula (2)

Where:

t: time in any position (s)

Δy= y-y₀

y = vertical position in any time (m)

y₀ : initial vertical position in meters (m)

v₀y: initial vertical velocity in m/s

vfy: final vertical velocity in m/s

g: acceleration due to gravity in m/s²

Data

v₀y = v₀ : total initial speed of the ball

y₀ : initial vertical position of the ball

g :acceleration due to gravity

Time (t) calculation for the ball to reach maximum height

We apply the formula (1)

vfy = v₀y-gt

When the ball reaches its maximum height (h), vy = 0:

0= v₀-gt

v₀ = gt

$t = \frac{v_{o} }{g}$

Calculation of the maximum hight that reaches the ball

When the ball reaches its maximum height (ymax), vy = 0:

We apply the formula (2)

vfy²= v₀y²-2gΔy

0= v₀²-2gΔy

2gΔy = v₀²

Δy= v₀²/2g ,Δy= ymax-y₀

ymax-y₀ = v₀²/2g

ymax= y₀ + v₀²/2g

3 0

3 years ago

I need you to draw me a free body Diagram For this question. Please make it as accurate as you can. And include forces, vectors,

Anuta_ua [19.1K]

The term Freebody diagram refer to the diagram that could be drawn to show the forces that act on an object.

<h3>What is a freebody diagram?</h3>

The term Freebody diagram refer to the diagram that could be drawn to show the forces that act on an object. We must note that the forces that act on a body determine the direction in which the body moves.

This is because, force is a vector quantity. As such the magnitude and direction of a force are both responsible when we are trying to determine the force that acts on the object.

Attached is the image of the upward motion of a vector that shows the forces that act on the vector. This is what we refer to as a Freebody diagram.

Learn more about freebody diagram:brainly.com/question/14390468

#SPJ1

4 0

2 years ago

Two children are riding on a merry-go-round that is rotating with a constant angular speed. Abbie is one meter from the center o

Ainat [17]

Answer:

<em>Abbie’s acceleration is (1/2) Zak’s acceleration.</em>

Explanation

1. <u>Data</u>:

a) ω = constant

b) Abbie: r₁ = 1 m

c) Zak: r₂ = 2 m

d) Ac₁ = ? Ac₂

2. <u>Formulae</u>

Ac = ω² r

3. <u>Solution</u>:

a) Abbie:

Ac₁ = ω² r₁ = ω² (1m)

b) Zack:

Ac₂ = ω² r₂ = ω² (2m)

c) Divide Ac₁ / Ac₂

Ac₁ / Ac₂ = ω² (1m) / [ω² (2m) ] = 1/2

⇒ Ac₁ = (1/2) Ac₂ = Ac₂ / 2 = 0.5 Ac₂

5 0

3 years ago

Another science question...

777dan777 [17]

In a neutral atom, the number of protons and electrons are always equal.

However, if there are more number of protons than electrons, we say the atom is now positively charged, (since protons are positively charged and the charges on electron cant cancel them out)

If there are more number of electrons than protons, the atom would be negatively charged.

If however there are different number of neutrons in an atom,but same proton number- we call them as isotopes. example 1H2 and 1H3 they have same protons but different neurtrons! hence they are isotopes of hydrogen

Hope this helpss

4 0

4 years ago

Read 2 more answers

Discuss a main factor negatively affecting species around the world and what scientist are doing in order to combat those proble

stiks02 [169]

These are the common main factors negatively affecting species around the world:

• Invasive species. The overview of non-native species into an ecosystem can intimidate endemic wildlife, distress human health and upset economies. Scientist solution contain making systems to avoid introduction of invasive species in the first place effectively monitoring for new infestations and fast abolition anew noticed intruders.

• Over-exploitation. Overhunting, overfishing and overharvesting give importantly to the damage of biodiversity which is killing of numerous species over the past several hundred years. The solution is conservation and constant consciousness neighboring over-exploitation mostly poaching and overfishing.

• Climate change. Alterations in climate over our planet past have altered life on earth in the long run which ecosystems have originate and left and species regularly go nonexistent. The solution must be reducing carbon prints and promoting education.

• Deforestation and habitat loss. This is a direct cause of extinction and loss of biodiversity. The solution is recommending stronger scientific forest protection laws.

• Lastly is the pollution. Acid rain which is normally initiated by the burning of fossil fuels can acidify smaller bodies of water and soil harmfully affecting the species that live there by altering breeding and nourishing habits. The solution must combat atmospheric and hydrologic pollution.

3 0

4 years ago