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
gogolik [260]
3 years ago
11

A ball is kicked from ground level with a velocity of 20 m/s at 30 degrees above the horizontal. Determine the horizontal displa

cement to where it lands and find how high the ball went at max height.
Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:the horizontal displacement is 34.64 meters

The maximum height is 15 meters

Step-by-step explanation:

As the ball moves from the ground at 30 degrees, it travels through a parabolic path. It can therefore be likened to a projectile. The horizontal displacement to where it lands is the range. The formula for determining range,R is

R = U^2Sin2#)/g

Where

U represents the initial velocity of the ball

g is acceleration due to gravity

# represents the angle above the horizontal.

From the information given

# = 30 degrees

U = 20 m/s

g = 10m/s^2

R = 20^2Sin2×30)/10 = (400Sin60)/20 = (400×0.8660)/10

= 34.64 meters

To determine the maximum height of the ball, H,

H = (U^2Sin^2#)/2g

H = (20^2 × Sin^2 30)/2×10

H = (400 × 0.866^2)/20 = 15 meters

You might be interested in
What is the solution of |5x| = 70?
kondaur [170]

Answer:

x=-14\:or\:x=14

Step-by-step explanation:

The given equation is

|5x|=70

This implies that;

5x=70\:or\:-5x=70

Solve for x to obtain;

x=\frac{70}{5}\:or\:x=\frac{70}{-5}

x=14\:or\:x=-14

7 0
3 years ago
Read 2 more answers
Can 25, 32, 60 make a right triangle?
e-lub [12.9K]

Answer:no


Step-by-step explanation:


3 0
3 years ago
Find the missing side lengths​
Vera_Pavlovna [14]

Cos( 30 ) = 19√3 / x

√3 / 2 = 19√3 / x

Simplify √3 from both sides

1 / 2 = 19 / x

Multiply both sides by x

1 /2 × x = 19 / x × x

x / 2 = 19

Multiply both sides by 2

x / 2 × 2 = 19 × 2

x = 38

_____________________________

Sin( 30 ) = y / x

1 / 2 = y / 38

Multiply both sides by 38

38 × 1 / 2 = 38 × y / 38

38 / 2 = y

19 = y

y = 19

6 0
3 years ago
Read 2 more answers
It’s x+8 at the bottom but if you solve this please give me a step by step so I know how to solve it, thank you!!♥️
OLga [1]

Answer:

x=4.

Step-by-step explanation:

Let's solve your equation step-by-step.

5/15=x/ x+8

Step 1: Cross-multiply.

5/15=x/ x+8

5*(x+8)=x*(15)

5x+40=15x

Step 2: Subtract 15x from both sides.

5x+40−15x=15x−15x

−10x+40=0

Step 3: Subtract 40 from both sides.

−10x+40−40=0−40

−10x=−40

Step 4: Divide both sides by -10.

−10x−10=−40−10

Then your answer will be x=4.

6 0
3 years ago
I need help on number 5 a&b plz
ollegr [7]
A: Distance between the Sycamore cabin to the Oak cabin is 30 yards. 
B: If she walks to the Mess Hall first she'll be 20 yards closer to the Elm cabin.
5 0
3 years ago
Other questions:
  • Mel drove 230 miles in 4 hours an pia drove 230 miles in 5 hours who drove faster?
    12·1 answer
  • If f(x)=-8-5x, what is f(-4) (If possible, explain your answer)
    13·1 answer
  • To which graph does the point (2, 4) belong?
    10·2 answers
  • 3.38 repeating as a fraction
    8·2 answers
  • What are the domain range of f(x)= 1/5 power of x
    6·1 answer
  • Please help !! I'm having a difficult time on this !
    5·1 answer
  • Ronald went bowling with his friends. He paid $9 to rent shoes, but has a coupon for $3 dollars off the shoes(combine like terms
    15·1 answer
  • (B^9)^3=b^27<br> true or false
    14·2 answers
  • F(x)= x^2-6x+5 Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function.
    13·1 answer
  • Which of the following is a solution to the inequality y&gt;3x−9 ? (Select all that apply)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!