1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ainat [17]
2 years ago
10

A ball is thrown directly downward with an initial speed of 7.70 m/s, from a height of 30.2 m. After what time interval does it

strike the ground?
Physics
1 answer:
KatRina [158]2 years ago
7 0

Answer:

t = 1.82

Explanation:

Given

u = 7.70m/s -- initial velocity

s = 30.2m --- height

Required

Determine the time to hit the ground

This will be solved using the following motion equation.

s = ut + \frac{1}{2}gt^2

Where

g = 9,8m/s^2

So, we have:

30.2 = 7.70t + \frac{1}{2} * 9.8 * t^2

30.2 = 7.70t + 4.9 * t^2

Subtract 30.2 from both sides

30.2 -30.2  = 7.70t + 4.9 * t^2 - 30.2

0  = 7.70t + 4.9 * t^2 - 30.2

0  = 7.70t + 4.9t^2 - 30.2

7.70t + 4.9t^2 - 30.2  = 0

4.9t^2 + 7.70t - 30.2  = 0

Solve using quadratic formula:

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

Where

a = 4.9;\ b = 7.70;\ c = -30.2

t = \frac{-7.70\±\sqrt{7.70^2 - 4*4.9*-30.2}}{2*4.9}

t = \frac{-7.70\±\sqrt{651.21}}{9.8}

t = \frac{-7.70\±25.52}{9.8}

Split the expression

t = \frac{-7.70+25.52}{9.8} or t = \frac{-7.70-25.52}{9.8}

t = \frac{17.82}{9.8} or t = -\frac{33.22}{9.8}

Time can't be negative;  So, we have:

t = \frac{17.82}{9.8}

t = 1.82

Hence, the time to hit the ground is 1.82 seconds

You might be interested in
If a car's speed triples, how does the momentum and kinetic energy of the
Harrizon [31]

Answer: When the car speed triples, momentum also triples but Kinetic energy increases 9 times or by 9 fold.

Explanation:

The momentum of a car (an object) is

p= mv

where

m is =the mass of the object( in this case car)

v is its= velocity

While the kinetic energy is is given by the formulae

K=1/2mv²

To determine how momentum and kinetic energy of the  car changes when the speed of the object triples, We have that the new velocity,

v¹= 3v

So that  the momentum  change becomes

p¹=mv¹=m (3v)= 3mv

mv=p

therefore p¹= 3p

we can see that the momentum also triples.

And the kinetic energy change  becomes

K¹=1/2m(v¹)²= 1/2m (3v)²

= 1/2m9v²= 1/2 x m x 9 x v²=9 x1/2mv²

1/2mv²=K

K¹= Kinetic energy = 9k

but Kinetic energy increases 9 times

7 0
3 years ago
In facts about Plastics, Explorer how the economy (the way materials are made, sold, and bought) is affected by using and produc
Mandarinka [93]

Producing plastics benefits the economy by employing workers and helps the economy of every state by spending billions of dollars on shipping plastic products.

4 0
2 years ago
Read 2 more answers
If the car ha a mass of 1000 kilograms, what is its momentum (v=35m/s)
Black_prince [1.1K]

Answer:

<em>The momentum of the car is 35,000 kg.m/s</em>

Explanation:

<u>Momentum</u>

Momentum is often defined as <em>mass in motion.</em>

Since all objects have mass, if it's moving, then it has momentum. It can be calculated as the product of the mass by the velocity of the object:

\vec p = m\vec v

If only magnitudes are considered:

p = mv

The car has a mass of m=1,000 kg and travels at v=35 m/s. Calculating its momentum:

p = 1,000 kg * 35 m/s

p = 35,000 kg.m/s

The momentum of the car is 35,000 kg.m/s

4 0
2 years ago
A farmer using sustainable agriculrural practices will a. use increased crop diversity and fewer off the farm resources in order
kati45 [8]

a. use increased crop diversity and fewer off the farm resources in order to reduce pressure on resources

Explanation:

A farmer using sustainable agricultural practices will use increased crop diversity and fewer off the farm resources in order to reduce dependency on other resources.

The major goal of sustainable agriculture is to cultivate plants and groom livestock in the best way that won't alter the environment.

  • This usually entail the cultivation of different crops.
  • Diversity of crops provides the means to sustain and retain soil fertility naturally without having to add fertilizers.
  • In animal husbandry, some of wastes are used on farm and the excesses from the farm are used to feed livestock.
  • Sustainable agriculture is a practice of self-reliant agriculture without infringing on the environment.

learn more:

Human impact on rainforest brainly.com/question/12095428

#learnwithBrainly

6 0
3 years ago
When a certain amount of current flows through a resistor, it uses 3.00 W of power. If the current doubles, how much power will
asambeis [7]

Answer: 12

Explanation: Acellus

7 0
2 years ago
Other questions:
  • A proton (mass mp), a deuteron (m = 2mp, Q = e), and an alpha particle (m = 4mp, Q = 2e), are accelerated by the same potential
    9·1 answer
  • Which is a “big idea” of physical science? Motion cannot be altered by forces. Most of the mass of the Earth consists of solid m
    8·1 answer
  • Convert the following: 9.87 x 108s = _____ h
    12·2 answers
  • Which of the following rocks would most likely be found on the ocean floor
    11·2 answers
  • A metal disk of radius 4.0 cm is mounted on a frictionless axle. Current can flow through the axle out along the disk, to a slid
    9·1 answer
  • Two girl scouts are sitting in a large canoe on a still lake while at summer camp. the canoe happens to be oriented with the fro
    5·1 answer
  • What acceleration is imparted to a football when the player kicked it with a force of 25 N? mass of football=0.40 kg
    11·1 answer
  • Which special effects technique is being used in television weather reports in which meteorologists stand in front of moving map
    6·2 answers
  • The heart working with the blood vessels to pump blood is which body system?
    9·1 answer
  • What is the average speed of a race car that moved 20 kilometers in 10 minutes?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!