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
shepuryov [24]
2 years ago
14

9. The maximum horizontal range of a projectile is given by the formula R= u2/g where u is the initial velocity and g is the acc

eleration due to gravity. Find the velocity with which a ball can be thrown to have a maximum range of 20 meters when the acceleration due to gravity is equal to 9.8 m/s.
(SHOW WORK)
Mathematics
2 answers:
muminat2 years ago
5 0

Answer:

<em>The velocity with which a ball must be thrown to have a maximum range of 20 m </em><u>is 14 m/s.</u>

Note that this problem means to find the magnitude of the velocity and not the direction (it is implicit in the formula that the angle of the launch is 45°).

Explanation:

You just must use the given equation for the maximum horizontal range of a projectile and solve for u which is the unknwon:

  • Given equation: R = u² /g
  • g = 9.8 m/s²
  • R = 20 m
  • u =?

Solve for u:

  • u² = R × g = (20 m) × (9.8 m/s²)  =  196 m²/s²

Take square root from both sides:

  • u = 14 m/s ← answer
Helen [10]2 years ago
4 0
<h2>Hello!</h2>

The answer is:

The velocity with which the ball can be thrown to have a maximum range of 20 meters is equal to 14 m/s.

u=14\frac{m}{s}

<h2>Why?</h2>

To solve the problem and find the velocity, we need to isolate it from the equation used to calculate the maximum horizontal range.

We have the equation:

R=\frac{u^{2} }{g}

Where,

R is the maximum horizontal range.

u is the initial velocity.

g is the gravity acceleration.

Also, from the statement we know that:

R=20m\\g=9.8\frac{m}{s^{2} }

So, using the given information, and isolating, we have:

R=\frac{u^{2} }{g}

R*g=u^{2}

u^{2}=R*g=20m*9.8\frac{m}{s^{2} }=196\frac{m^{2} }{s^{2} }\\\\u=\sqrt{196\frac{m^{2} }{s^{2}}}=14\frac{m}{s}

Hence, we have that the velocity with which the ball can be thrown to have a maximum range of 20 meters is equal to 14 m/s.

u=14\frac{m}{s}

Have a nice day!

You might be interested in
Oliver earns $12 per hour doing extra lawn chores for his neighbor. They also pay him $40 each month for cutting the grass,
Alex777 [14]

Answer:

3.333333333333333333

3 0
2 years ago
Read 2 more answers
The price of a car was decreased by 25% to £1875. What was the price before<br> the decrease?
Ksenya-84 [330]

Answer:

2500

Step-by-step explanation:

75% of x = 1875

x = 2500

5 0
3 years ago
Draw a number line that shows numbers larger than 2 and smaller than 5. Please visualize your thinking!
Pani-rosa [81]

Answer:

Here it is. Hope it helped.  Apart from 3, 4 is also a number.

plz mark me as brainliest.

6 0
3 years ago
Decribe how you regroup when you find the sum of 64 + 43
Marina86 [1]
You would Not have to regroup for this problem
6 0
3 years ago
Read 2 more answers
Which situation could be represented by an exponential function select each correct answer
ANTONII [103]

Answer:

The first and third options are the examples of exponential functions.

Step-by-step explanation:

When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.

In the first option:  An event organizer finds each year's attendance for the past five years is about \frac{4}{5} of previous year's attendance.

So, here the total attendance is compounding every year by a factor \frac{4}{5} of previous year's attendance.

Again, in the third case: The total population is increasing by about 7.5% each year.

Hence, the population is compounded every year by 7.5% of the previous year's population.

Therefore, the first and third options are examples of exponential functions. (Answer)

3 0
2 years ago
Other questions:
  • which measure would you report to describe the diffrences between the most electricity used in 1 month and the least
    5·1 answer
  • Which of these could be the graph of f(x) = In x + 2?
    14·2 answers
  • What is 0.0304 in scientific notation
    10·1 answer
  • PLEASE HELP!!! Which Equation is represented by the graph?
    5·2 answers
  • Help me with this ASAP
    5·1 answer
  • Emma did some early holiday shopping for herself and found some items that totaled $212.94. She was thirifty enough to purchase
    14·2 answers
  • The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.
    9·1 answer
  • I need to know how to solve this completely not just the answers plz :)
    5·1 answer
  • How do I put 2.1*10.5 in scientific notation​
    10·2 answers
  • You are baking cookies for a bake sale. It takes 30 minutes to mix the cookie dough and 10.5 minutes to bake a sheet of cookies.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!