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
Bezzdna [24]
3 years ago
7

Ball A is thrown vertically upwards with a velocity of v0 . Ball B is thrown upwards from the same point with the same velocity

t seconds later.
Part A

Determine the elapsed time t<2v0/g from the instant ball A is thrown to when the balls pass each other .

Express your answer in terms of some or all of the variables v0, t, and the acceleration due to gravity g .
Physics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

The answer is \tau = \frac{v_o}{g} + \frac{t}{2}

Explanation:

If the ball is thrown vertically, the equation of its position is

y(\tau) = y_0 + v_0\tau - \frac{1}{2}g\tau^2

So setting our coordinate system in the position of throwing (y_0=0), the equation for A is

y_A(\tau) = v_0\tau - \frac{1}{2}g\tau^2

and for B

y_B(\tau') = v_0\tau' - \frac{1}{2}g{\tau'}^2

where

\tau' = \tau - t

due to the delay of the throwing between A and B, "t"

t = \tau - \tau'.

Now, the balls passing each other means that

y_B(\tau') = y_A(\tau)

then

v_0(\tau - t) - \frac{1}{2}g(\tau - t)^2 = v_0\tau - \frac{1}{2}g\tau^2

cancelling some terms...

-v_0t + g\tau t - \frac{1}{2}gt^2 = 0

so

\tau = \frac{v_o}{g} + \frac{t}{2}

You might be interested in
We calculated the speed of visible light through four substances. What is different about the substances? Lesson: 4.10 Substance
marusya05 [52]

Answer:

it's to dense

Explanation:

3 0
3 years ago
YOU GUYS!!!!! I HAVE TO TURN IN A POWERPOINT IN 30 MINUTES! HELP!!!!!! WHEN WAS PLASMA ADDED AS A STATE OF MATTER?!?!?!?!
ruslelena [56]

a plasma is a hot ionized gas consisting of equal numbers and positively charged ions and negativly charged electrons. the characterisitcs of plasma are different from those of oirdinary gases so plama is consideres the fourth state of matter

8 0
3 years ago
Read 2 more answers
A ball is launched vertically with an initial speed of y˙0= 50 m/s, and its acceleration is governed by y¨=-g-cDy˙2, where the a
stira [4]

Answer:

Explanation:

Given

acceleration is given by

a=-g-c_Dv^2

where \ddot{y}=a

\dot{y}=v

Also acceleration is given by

a=v\frac{\mathrm{d} v}{\mathrm{d} s}

ds=\frac{v}{a}dv

\int ds=\int \frac{v}{-g-0.001v^2}dv

\Rightarrow Let -g-0.001v^2=t

-0.001\times 2vdv=dt

vdv=-\frac{dt}{0.002}

at\ v_0=50\ m/s,\ t=-g-0.001(50)^2

t=-g-2.5

at v=0,\ t=-g

\int_{0}^{s}ds=\int_{-g}^{-g-2.5}\frac{-dt}{0.002t}

\int_{0}^{s}ds=\int^{-g}_{-g-2.5}\frac{dt}{0.002t}

s=\frac{1}{0.002}lnt|_{-g}^{-g-2.5}

s=\frac{1}{0.002}\ln (\frac{g+2.5}{g})

s=113.608\ m

when air drag is neglected maximum height reached is

h=\frac{v_0^2}{2g}

h=\frac{50^2}{2\times 9.8}

h=127.55\ m

3 0
3 years ago
I need help can someone help me pls
pychu [463]

Answer:

copper

Explanation:

4 0
3 years ago
Read 2 more answers
judith weighs twice as much as Kristina.judith can run up a flight of stairs in 5 seconds while Kristina requires 10 seconds.com
Bumek [7]

Answer:

judith has power while

krsistina don't

8 0
3 years ago
Read 2 more answers
Other questions:
  • Unlike a theory, a scientific law describes an observed pattern without attempting to _____ it. prove explain test verify
    15·1 answer
  • What are (a) the lowest frequency, (b) the second lowest frequency, (c) the third lowest frequency of transverse vibrations on a
    5·1 answer
  • Fluency means that
    5·2 answers
  • What does a kidney do
    13·2 answers
  • What is the correct order for the Lunar eclipse
    15·2 answers
  • * THE ANSWER IS D * Find the location of fluorine (F) on the periodic table. What type of ion will fluorine form?
    8·2 answers
  • Please help!!!!!!!!!!!!!!!!
    7·1 answer
  • EMERGENCY: What does the voltmeter read if X is a resistor??
    10·1 answer
  • 1. Who explained the motions of the planets of the solar system at the same
    6·1 answer
  • The law of conservation of momentum states that __________.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!