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
shtirl [24]
3 years ago
6

A projectile is fired in such a way that its horizontal range is equal to 14.5 times its maximum height. what is the angle of pr

ojection?
Physics
1 answer:
3241004551 [841]3 years ago
5 0

The maximum height is: hmax  = v0² sin² α / 2 g<span>
The horizontal range is: x = v0² sin 2 α / g</span>

So we are given that:

x = 14.5 hmax

v0² sin 2 α / g = 14.5 v0² sin² α / 2 g<span>
<span>7.25 sin² α = 2 sin α cos α    
<span>7.25 sin α = 2 cos α  
7.25 tan α = 2
<span>tan α = 0.27586
<span>α = tan^(-1) 0.27586
α = 15.42°<span>
<span>The angle of projection is 15.42</span></span><span>°</span></span></span></span></span></span>

You might be interested in
A jet airplane has a velocity of 1145 knots. A knot is 1 nautical mile (nm)/hr. A nautical
Tanya [424]

Answer:

1 m = 39.37 in = 39.37/12 ft = 3.28 ft

V = 1145 k/hr  = 1145k/hr * 6076 ft/k = 6957020 ft / hr

V = 6957020 ft/hr / 3600 s/hr = 1933 ft/sec

V = 1933 ft/sec / (3.28 ft / m) = 589 m/s

Check:

88 ft/sec = 60 mph

(1145 k/hr * 6076 ft / k) 3600 sec/hr = 1933 ft/sec = 589 m/s

1933 ft/sec / (88 ft/sec) * 60 mph = 1318 mph

Also,  1318 / 1145 = 6076 / 5280       as it should

4 0
2 years ago
When the sphere makes a complete revolution around its circular path, does it spend:_______
topjm [15]

Answer:

Explanation:

the same amount of time in both halves of the circle

5 0
2 years ago
Scientists want to place a telescope on the moon to improve their view of distant planets. The telescope weighs 200 pounds on Ea
LuckyWell [14K]

Answer:

Explanation:

the weight of the telescope decreases  because the moon attract the body with less force as compared to earth due to less gravity as compared to earth

6 0
3 years ago
At a particular instant, a hot air balloon is 100 m in the air and descending at a constant speed of 2.0 m/s. at this exact inst
rewona [7]

Answer:

86.4 m  horizontal from landing spot

Explanation:

Find out how long before the ball hits the ground

 vertical speed  of ball = -2  m/s     gravity = - 9.81 m/s^2

find time to hit ground from 100 m  

          ( height will be<u> zero</u> when it hits the ground)

<u>0 </u>=  100  - 2 t  - 1/2 ( 9.81) t^2

        use Quadratic Formula to find t = 4.32 seconds

              horizontal speed of ball = 20 m/s  

in 4.32 seconds it will travel horizontally   20  m/s * 4.32 s = 86.4 m

3 0
2 years ago
Sound that reaches the ears after bouncing off a wall or a floor is called _____.
andrew11 [14]

Answer:

Indirect sound

8 0
1 year ago
Read 2 more answers
Other questions:
  • The density of aluminum is 2.7 g/cm3. A metal sample has a mass of 52.0 grams and a volume of 17.1 cubic centimeters. Could the
    5·1 answer
  • Which statement best describes copper?
    8·1 answer
  • You are traveling on the interstate highway at a speed of 65 mph. What is your speed in km/h? The conversion factor is: 1.0 mph=
    9·1 answer
  • Which of the substances listed in the table on the first page would heat up more quickly if an equal amount
    8·1 answer
  • Electric force and magnetic force are the only forces that can both do what? *
    14·1 answer
  • Can anyone pls help me out in dis i am struggling in dis!
    6·1 answer
  • Light____.
    15·2 answers
  • Q. Tom and Zoe make a string telephone. They use two empty tin cans joined by a piece of string. Tom and Zoe are 5 m apart. Tom
    14·1 answer
  • The scanning process and magnetic lenses used in a scanning electron microscope often results in fair to poor resolution and "fu
    5·1 answer
  • compare and contrast the excited state and the ground state of electrons. please use proper grammar and mechanics.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!