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
Oksana_A [137]
3 years ago
13

A log is floating on swiftly moving water. A stone is dropped from rest from a 50.8-m-high bridge and lands on the log as it pas

ses under the bridge. If the log moves with a constant speed of 5.36 m/s, what is the horizontal distance between the log and the bridge when the stone is released?
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

Step-by-step explanation:

Height of bridge, h = 50.8 m

Speed of log = 5.36 m/s

We need to find the horizontal distance between the log and the bridge when the stone is released, for that first we need to find time taken by the stone to reach on top of log,

We have equation of motion. s = ut + 0.5 at²

       Initial velocity, u = 0 m/s

       Acceleration, a = 9.81 m/s²

       Displacement, s = 50.8 m

Substituting,

                  s = ut + 0.5 at²

                 50.8 = 0.5 x 9.81 x t²

                     t = 3.22 seconds,

So log travels 3.22 seconds at a speed of 5.36 m/s after the release of stone,

We have equation of motion. s = ut + 0.5 at²

       Initial velocity, u = 5.36 m/s

       Acceleration, a = 0 m/s²

       Time, t = 3.22 s

Substituting,

                  s = ut + 0.5 at²

                 s = 5.36 x 3.22 + 0.5 x 0 x 3.22²

                    s = 17.24 m

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

You might be interested in
A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
Solve the quadratic equation y^2-2y-35=0
soldier1979 [14.2K]

Hello,

To solve we need to factor y^2-2y-35:

(y-7)(y+5)=0

Now solve for :

(When will (y-7)(y+5)equal zero?)

When y-7=0 or y+5=0

Solve for the 2 equations above and;

y= 7,-5

Hope this helps, have a great day!



6 0
3 years ago
The graph shows a line and two similar triangles
ss7ja [257]
Your rise is 5 and your run is 3, your y-intercept is 0, therefore y=(5/3)x
6 0
3 years ago
20% of what original number is 25?
marshall27 [118]

Answer:

Y is 25, P% is 20, so the equation is 25/20% = X Convert the percentage to a decimal by dividing by 100. Converting 20% to a decimal: 20/100 = 0.20

Step-by-step explanation:

3 0
2 years ago
Choose the correct response​
lilavasa [31]

Answer:

f(2) = 9

Step-by-step explanation:

It's give in the question,

Two different functions are,

f(x) = 4x + 1

g(x) = -2x

Then we have to find the output value of function 'f' for the input value x = 2.

By substituting the value of x in the function 'f',

f(2) = 4(2) + 1

     = 9

f(2) = 9

5 0
2 years ago
Other questions:
  • Find the sum of the first seven terms of the sequence 4, 12, 36, 108,
    8·2 answers
  • What percent of 300 is 51
    15·2 answers
  • A coin falls from rest from the balcony of a building. If it takes 2.7 s for it to hit the ground, what is the final velocity of
    13·1 answer
  • What is 73% as a decimal????<br>WILL MARK AS BRAINLIEST!!!​
    10·2 answers
  • Can you please help me solve questions 1 and 2
    5·1 answer
  • 34 is closest to what two pairs of numbers that equal 99?
    5·2 answers
  • What value is needed to complete the square?
    5·1 answer
  • Consider the equation 40x - 25y = 15
    11·1 answer
  • What is the sum or difference? 4x^7-6x^7
    9·1 answer
  • Compute the sum<br><br> a. 3,577<br><br> b. 7,161<br><br> c. 1,792<br><br> d. 1,785
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!