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
Usimov [2.4K]
3 years ago
5

A ball thrown horizontally at vi = 30.0 m/s travels a horizontal distance of d = 55.0 m before hitting the ground. from what hei

ght h was the ball thrown?
Physics
1 answer:
tekilochka [14]3 years ago
7 0
Assume no air resistance, and g = 9.8 m/s².

Let
x =  angle that the initial velocity makes with the horizontal.
u = 30 cos(x), horizontal velocity
v = 30 sin(x), vertical launch velocity

The horizontal distance traveled is 55 m, therefore the time of flight is
t = 55/[30 cos(x)] = 1.8333 sec(x)  s

With regard to the vertical velocity, and the time of flight,obtain
[30 sin(x)]*(1.8333 sec(x)) + (1/2)*(-9.8)*(1.8333 sec(x))² = 0
 55 tan(x) - 16.469 sec²x = 0
55 tan(x) - 16.469[1 + tan²x] = 0
16.469 tan²x - 55 tan(x) + 16.469 = 0
tan²x - 3.3396 tan(x) + 1 = 0

Solve with the quadratic formula.
tan(x) = 0.5[3.3396 +/- √(7.153)] = 3.007 or 0.3326
Therefore
x = 71.6° or x = 18.4°

The time of flight is
t = 1.8333 sec(x) = 5.8096 s or 1.932 s
The initial vertical velocity is
v = 30 sin(x) = 28.467 m/s or 9.468 m/s
The horizontal velocity is
u = 30 cos(x) = 9.467 m/s or 28.469 m/s

If t = 5.8096 s,
  u*t = 9.467*5.8096 = 55 m (Correct)
or
 u*t = 28.469*15.8096 = 165.4 m (Incorrect)

Therefore, reject x = 18.4°. The correct solution is
t = 5.8096 s
x = 71.6°
u = 9.467 m/s
v = 28.467 m/s

The height from which the ball was thrown is
h = 28.467*5.8096 - 0.5*9.8*5.8096² = -110.4 m
The ball was thrown from a height of 110.4 m

Answer: h = 110.4 m

You might be interested in
Enumera las funciones del Estado​
Shalnov [3]

Answer:

Gobernancia. ...

Compromiso con el mercado. ...

Seguridad. ...

Infraestructura. ...

Imperio de la ley. ...

Capital humano. ...

Gestión Financiera Pública. ...

Compromiso ciudadano.

Explanation:

7 0
3 years ago
What can I do to increase range of motion in a joint
Phantasy [73]

Answer:

Damian here! (ノ◕ヮ◕)ノ*:・゚✧

Stretching is used to improve range-of-motion (ROM) of a joint, but why? The most common reason is that the joint ROM is limited and is somehow affecting performance of a desired activity. Stretching is also used as a preventative measure.

Explanation:hope this helps? :))

8 0
3 years ago
Raul wants to increase his upper body and cardiovascular strength. He plans to go to the gym and use his backyard swimming pool
Mkey [24]

Answer: An exercise, activity, or workout that targets a specific training need Progression - Gradually increasing your skill level and ability over time Overload -Working your body harder than usual to improve how it functions Reversibility - Losing what you have gained by taking time off Tedium - getting bored by doing the same thing

Explanation:

4 0
3 years ago
An inductor of 299 mH with a resistance of 51 Ω is connected to a power supply with a maximum voltage of 227 V and a frequency o
kramer

Answer:

The answer is 1.1A

Explanation:

See the attached file

6 0
3 years ago
What pulls all objects in the universe, including the moon and earth and the su
Salsk061 [2.6K]
It's called gravity, it attract the sun toward the gravitational pull making everything circulate. I don't really know how to explain it though.
6 0
3 years ago
Other questions:
  • Describe three societal needs that drive scientific endeavor and give an example of a scientific endeavor associated with each.
    11·1 answer
  • Newton's third law with magnetic forces?
    5·1 answer
  • What are the rarefaction and compression regions of a guitar string
    11·1 answer
  • Momentum of the 2 kg mass moving with velocity 10 m/s is *
    7·1 answer
  • The amplitude of a wave is
    10·1 answer
  • What would be the mass of an object that has a force of 88N and an acceleration of 12 m/s2?
    12·1 answer
  • A violin has a string of length
    10·2 answers
  • What is the formula of moment of force​
    15·1 answer
  • A video game regularly costs $29.95 is on sale for 15% off. About how much is the sale price of the game is you include 8% sales
    8·1 answer
  • Which example is correctly matched with its type of friction?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!