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
wlad13 [49]
1 year ago
11

A ball is thrown straight up into the air and passes a window 3 seconds after being released. It passes the same window on its w

ay back down 1.5 seconds later. What was the initial velocity of the ball?
Physics
1 answer:
melomori [17]1 year ago
8 0

The  initial velocity of the ball is 55.125 m/s.

<h3>Initial velocity of the ball</h3>

The initial velocity of the ball is calculated as follows;

During upward motion

h = vi - ¹/₂gt²

h = vi - 0.5(9.8)(3²)

h = vi - 44.1 ----------------- (1)

During downward motion

h = vi + ¹/₂gt²

h = 0 + 0.5(9.8)(1.5)²

h = 11.025 ----------- (2)

solve (1) and (2) together, to determine the initial velocity of the ball

11.025 = vi - 44.1

vi = 11.025 + 44.1

vi = 55.125 m/s

Thus, the  initial velocity of the ball is 55.125 m/s.

Learn more about initial velocity here: brainly.com/question/19365526

#SPJ1

You might be interested in
What is time write its SI unit​
lisabon 2012 [21]
The SI unit of time is second
4 0
3 years ago
almost 500 grams of sugar can dissolve in 100 milliters of boiling water. you have a boiling solution of liquid with as much sug
amid [387]
The solution is 'supersaturated' ... holding more solute than it's supposed to be able to hold.
8 0
3 years ago
A positively charged wire with uniform charge density +λ lies along the x-axis and a negatively charged wire with uniform charge
Kisachek [45]

Answer:

\vec{E} = \frac{\lambda}{2\pi\epsilon_0}[\frac{1}{y}(\^y) - \frac{1}{x}(\^x)]

Explanation:

The electric field created by an infinitely long wire can be found by Gauss' Law.

\int \vec{E}d\vec{a} = \frac{Q_{enc}}{\epsilon_0}\\E2\pi r h = \frac{\lambda h}{\epsilon_0}\\\vec{E} = \frac{\lambda}{2\pi\epsilon_0 r} \^r

For the electric field at point (x,y), the superposition of electric fields created by both lines should be calculated. The distance 'r' for the first wire is equal to 'y', and equal to 'x' for the second wire.

\vec{E} = \vec{E}_1 + \vec{E}_2 = \frac{\lambda}{2\pi\epsilon_0 y}(\^y) + \frac{-\lambda}{2\pi\epsilon_0 x}(\^x)\\\vec{E} = \frac{\lambda}{2\pi\epsilon_0 y}(\^y) - \frac{\lambda}{2\pi\epsilon_0 x}(\^x)\\\vec{E} = \frac{\lambda}{2\pi\epsilon_0}[\frac{1}{y}(\^y) - \frac{1}{x}(\^x)]

5 0
3 years ago
Niels Bohr's important discovery was?
Tom [10]
In 1912, Bohr<span> was working for the Nobel laureate J.J. Thompson in England when he was introduced to Ernest Rutherford, whose </span>discovery<span> of the nucleus and development of an atomic model had earned him a Nobel Prize in chemistry in 1908. Under Rutherford's tutelage, </span>Bohr<span> began studying the properties of atoms.

</span>
7 0
3 years ago
Read 2 more answers
A student sits on a rotating stool holding two 3.09-kg masses. When his arms are extended horizontally, the masses are 1.08 m fr
schepotkina [342]

Answer:

a

The New angular speed is  w_f = 2.034 rad/s

b

The Kinetic energy before the masses are pulled in is  KE_i = 3.101 \ J

c

The Kinetic energy after the masses are pulled in is   KE_f = 8.192 \ J

Explanation:

From the we are told that masses are 1.08 m from the axis of rotation, this means that

             The radius r =1.08m

              The  mass is m = 3.09\  kg

              The  angular speed w = 0.770 \ rad/sec

  The moment of inertia of the system excluding the two mass I = 3.25 \ kg \cdot m^2

           New radius  r_{new} = 0.34m

             

Generally the conservation of angular momentum can be mathematical represented as

                         w_f = [\frac{I_i}{I_f} ]w_i .....(1)

Where w_f is the final angular speed

           w_i is the initial  angular speed

          I_i is the initial moment of inertia

           I_f is the final moment of inertia

Moment of inertia is mathematically represented as

                       I = m r^2

Where I is the moment of inertia

          m is the mass

           r is the radius

So the Initial moment of inertia is given as  

     I_i = moment \ of \  inertia \ of\  the  \ two \  mass \ + 3.25 \ kg \cdot m^2

     I_i = 2m r^2 + 3.25

The multiplication by is because we are considering two masses

    I_i = 2 [(3.09)(1.08)^2] +3.25 = 10.46 kg \cdot m^2

So the final  moment of inertia is given as  

     I_f = 2[(3.09)(0.34)^2] +3.25 = 3.96 \ kg \cdot m^2      

Substituting these values into equation 1

         w_f = [\frac{10.46}{3.96} ] * 0.77 = 2.034 \ rad/sec                                                          

Generally Kinetic energy is mathematically represented in term of moment of inertia as

                       KE = \frac{1}{2} * I * w^2

Now considering the kinetic energy before the masses are pulled in,

                     KE_i = \frac{1}{2} * I_i * w^2_i

The Moment of inertia would be  I_i = 10.46 \ Kg \cdot m^2

  The Angular speed would be  w_i = 0.77 \ rad/s

Now substituting these value into the equation above

              KE_i = \frac{1}{2} * (10.46) * (0.770)^2 = 3.101 J

Now considering the kinetic energy after the masses are pulled in,                      

               KE_f = \frac{1}{2} * I_f * w^2_f

The Moment of inertia would be  I_f = 3.96 \ Kg \cdot m^2

The Angular speed would be  w_f = 2.034 \ rad/s

Now substituting these value into the equation above

                        KE_f= \frac{1}{2} *(3.96)(2.034)^2  

                        = 8.192J        

8 0
3 years ago
Other questions:
  • A race car is one lap behind the lead race car when the lead car has 44 laps to go in a race. If the speed of the lead car is 55
    15·1 answer
  • Which kind of illustration would you use to show a history of genetic characteristics in a family?
    11·1 answer
  • Is it inhumane to keep a cat in one room?
    5·1 answer
  • A large stick is pivoted about one end and allowed to swing back and forth with no friction as a physical pendulum. The mass of
    6·1 answer
  • When a certain isotope, such as U-238, is hit by a neutron, it will always split into the same smaller nuclei.
    14·2 answers
  • Through which of the following ways can heat be transferred?
    12·2 answers
  • 1. Place these unknown pH test papers in order from most acidic to most alkaline.
    6·1 answer
  • Match the speed to the section that describes.
    13·1 answer
  • Why would scientists use a hand lens to observe minerals?
    7·1 answer
  • The width of a nuclear state is found to be 10^-2 ev. The corresponding lifetime of this state is?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!