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
zubka84 [21]
4 years ago
5

To win the game, a place kicker must kick a football from a point 45 m (49.212 yd) from the goal, and the ball must clear the cr

ossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24 m/s at an angle of 32.6 ◦ from the horizontal. The acceleration of gravity is 9.8 m/s 2 . By how much vertical distance does the ball clear the crossbar? Answer in units of m.
Mathematics
1 answer:
V125BC [204]4 years ago
8 0

Answer:

1.65m

Step-by-step explanation:

First, we have to know the velocity of the ball in both axis, x-axis and y-axis.

Vy = sen(32.6°)*24m/s =  12.9m/s

Vx = cos(32.6°)*24m/s = 20.2m/s

Now, we are told the distance covered by the ball, which es 45m (x-axis). With that info, we can find the time the ball traveled, by x=v*t

x = distance in x-axis and  Vx = 16.85m/s

Clearing t, we have: t = x / Vx = 45m / 20.2m/s = 2.2s

Finally, using the equation of vertical distance: Dy = 1/2 a*t² + V0y*t

Dy = (1/2*-9.8m/s²*2.2s²) + 12.9m/s*2.2s = -23.7m + 28.4m = 4.7m

The ball cleared the croosbar by 4.7m-3.05= 1.65m

You might be interested in
Two newspapers are comparing sales from last year.
NikAS [45]

Answer:

A seems most likely

Step-by-step explanation:

Happy Holidays

6 0
3 years ago
Will a circle always have a greater area than a square if the circumfrance and perimeter are the same
daser333 [38]
The answer is yes. here is how:
circumference of a circle is 2pi*r
perimeter of a square is 4a, a being the length of each side.
when 2pi*r=4a, r=(2a)/pi
area of the circle is pi*r^2=pi(2a/pi)^2=(4/pi)*a^2
area of the square is a^2
Because 4/pi is bigger than 1, (4/pi)*a^2 is always larger than a^2
6 0
4 years ago
Plz help me solving this question ​
ankoles [38]

Answer:

Step-by-step explanation:

3) Surface area of cube = 6a² where a is side of the cube.

a)  a = 6 cm

Surface area of cube = 6 * 6*6 = 216 cm²

b) a = 4.5 cm

Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²

4)  Area of cuboid = A = 2(lb + bh + hl)

a) l = 10 cm ; h = 6 cm  ; A = 376 cm²

  A = 376

2(lb + bh + hl) = 376

2(10b + 6b + 60) = 376

2*( 16b + 60) = 376

 2*16b + 2*60 = 376

     32b + 120 = 376

        32b  = 376 - 120

          32b = 256

             b = 256 / 32

b = 8 cm

5) Surface area  of cube = 150 cm²

6a² = 150

Divide both sides by 6

a² = 150/6

a² = 25 = 5*5

a = 5 cm

6)  l = 15 cm ; b = 12 cm ; h = 10cm

Lidless. so area of top portion is not included

Surface area of lidless cuboid = 2(hb + hl) + lb

                                                  = 2*(10*12 + 10*15) + (15*12)

                                                  = 2*(120 + 150) + 180

                                                  = 2* 270 + 180

                                                  = 540 + 180

                                                   = 720 cm²

4 0
3 years ago
Read 2 more answers
Scottish researchers compared rates of depression between 94 undergraduates who regularly kept diaries and 41 students who did n
alexira [117]

Answer:

Another explanation could be that people who are depressed are more likely to keep a diary.

This is an observational study, so it is not possible to ascribe that writing in a diary (cause) leads to depression (effect).

Their interpretation of the results was flawed because the researchers assumed an order of cause and effect.

Step-by-step explanation:

5 0
3 years ago
What is the diameter of a circle with a radius of 3.5 cm?
JulijaS [17]
The radius of a circle is the distance from the center point of a circle to the outer edge of the circle. The diameter is the distance between one point on the outside of a circle and a point on the other side, and the diameter passes through the center point.

Therefore, the diameter is just twice the radius.

We know the radius is 3.5 cm, so we can just multiply:

3.5 * 2 = 7

The diameter of a circle with a radius of 3.5 cm is 7 cm.
Hope that helped! =)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the equation of the linear function represented by the table below in slope-intercept form.
    15·1 answer
  • ........................
    15·1 answer
  • Which is another way to name UST? TSR TSU USR UTS
    7·2 answers
  • Order from least to greatest; 5/7, 5/6, 5/12
    11·2 answers
  • Find the dimensions of the cube.<br> ​
    15·2 answers
  • Pls helpppppp thanks!!!!!!!<br> :)
    12·1 answer
  • Please help !!! I’m stuck
    10·1 answer
  • Two points in the (x, y) plane are a distance of 5 units apart. After a certain transformation is applied to both points, the tw
    13·1 answer
  • PLEASE ANSWER I NEED HELP~The scale drawing below is being used to build a wooden table. The scale in this drawing is 1 cm = 3 f
    15·2 answers
  • The table and the graph show information about students enrolled in spanish and french classes at a high school. use the graph t
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!