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
mojhsa [17]
3 years ago
7

A trick shot archer shoots an arrow with a velocity of 30.0 m/s at an angle of 20.0 degrees with respect to the horizontal. An a

ssistant standing on the level ground 30.0 m downrange from the launch point throws an apple straight up with the minimum initial speed necessary to meet the path of the arrow. What is the initial speed of the apple and at what time after the arrow is launched should the apple be thrown so that the arrow hits the apple?
Physics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

u'=10.259\ m.s^{-1} is the initial velocity of tossing the apple.

the apple should be tossed after \Delta t=0.0173\ s

Explanation:

Given:

  • velocity of arrow in projectile, v=30\ m.s^{-1}
  • angle of projectile from the horizontal, \theta=20^{\circ}
  • distance of the point of tossing up of an apple, d=30\ m

<u>Now the horizontal component of velocity:</u>

v_x=v\ cos\ \theta

v_x=30\times cos\ 20^{\circ}

v_x=28.191\ m.s^{-1}

<u>The vertical component of the velocity:</u>

v_y=v.sin\ \theta

v_y=30\times sin\ 20^{\circ}

v_y=10.261\ m.s^{-1}

<u>Time taken by the projectile to travel the distance of 30 m:</u>

t=\frac{d}{v_x}

t=\frac{30}{28.191}

t=1.0642\ s

<u>Vertical position of the projectile at this time:</u>

h=v_y.t-\frac{1}{2}g.t^2

h=10.261\times 1.0642-\frac{1}{2} \times 9.8\times 1.0642^2

h=5.3701\ m

<u>Now this height should be the maximum height of the tossed apple where its velocity becomes zero.</u>

v'^2=u'^2-2g.h

0^2=u'^2-2\times 9.8\times 5.3701

u'=10.259\ m.s^{-1} is the initial velocity of tossing the apple.

<u>Time taken to reach this height:</u>

v'=u'-g.t'

0=10.259-9.8\times t'

t'=1.0469\ s

<u>We observe that </u>t>t'<u> hence the time after the launch of the projectile after which the apple should be tossed is:</u>

\Delta t=t-t'

\Delta t=1.0642-1.0469

\Delta t=0.0173\ s

You might be interested in
One major disadvantage of breeder reactors is that they can do which of the following? Select one:a.explodeb.leak radioactivityc
zimovet [89]

definition of breeder reactors.

These are a type of nuclear reactors which produce more fissile material than they consume

Advantages: Breeder reactors produce Pu-239 which can be extensively used as a nuclear fuel. Also, Pu-239 can absorb neutron to form Pu-240, which is another fertile material.[1]

8 0
1 year ago
If the second harmonic of a certain string is 42 Hz, what is the fundamental frequency of the string?
stich3 [128]
I would think that you would have to do 42/2=21Hz, but I'm not sure...
5 0
3 years ago
Ohm’s law describes the relationship between which quantities?
VladimirAG [237]
I think its between b or c
5 0
3 years ago
Read 2 more answers
A woman is sitting in her hotel room when there is a knock at the door. She opened the door to see a man whom she had never seen
Allisa [31]
Ooh. You don't knock on your own hotel door- <span> a knock at the door is your key word.
</span>x
5 0
3 years ago
Read 2 more answers
(1 point) A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading 10 degrees to the
kati45 [8]

Answer:

The pilot is 2214.22 miles from her starting position

Explanation:

Since the pilot is traveling at a constant speed of 635 mph, the total distance traveled can be easily found as follows:

1stleg: d_{1} = 1.5*635 = 952.5 mi\\2ndleg: d_{2} = 2*635 = 1270 mi

There was a 10 degrees deviation, so the angle between the trajectory of both legs is 170 degrees.

The distance we need to find is that from the start of the first leg to the end of the second leg, those three distances form a triangle and since the side we're interested in is opposite to the 170 degrees angle, we can determine its length by the law of cosines:

d_{3}^{2} =d_{1}^{2} + d_{2}^{2} -2*d_{1}*d_{2}*cos(170)\\d_{3}^{2} =952.5^{2} + 1270^{2} -2*952.5*1270*cos(170)\\d_{3}=2214.22mi

The pilot is 2214.22 miles from her starting position

8 0
2 years ago
Other questions:
  • If a wheel falls from an airplane that is flying horizontally at an altitude of 500 m, how long will it take for the wheel to st
    14·1 answer
  • Explain the results of Rutherford’s gold foil experiment and how they changed our model of the atom.
    15·1 answer
  • An electric generator transforms mechanical energy into electrical energy. This process could be done by which of these?
    9·2 answers
  • What is the definition of density
    6·2 answers
  • A Russian athlete lifts 300kg to a height of 2.5 m in 2 seconds. What is the work done? And what power is exerted?
    10·1 answer
  • 1. Describe the motion of an object with positive velocity and negative acceleration.2. Describe the motion of an object with ne
    11·1 answer
  • A car is being pulled by a tow truck. What is the car's mass if the net force on the car is 5400 N and it has an acceleration of
    14·1 answer
  • Which type of graph would be best for showing the percentage of people in a
    11·2 answers
  • light traveling through air encounters a second medium which slows the light to 100,000 miles/second. What is the index of the s
    5·2 answers
  • How do characteristics help you to classify seeds?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!