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
nirvana33 [79]
2 years ago
7

A pumpkin is thrown horizontally off of a building at a speed of 2.5\,\dfrac{\text m}{\text s}2.5 s m ​ 2, point, 5, start fract

ion, start text, m, end text, divided by, start text, s, end text, end fraction and travels a horizontal distance of 12\,\text m12m12, start text, m, end text before hitting the ground. We can ignore air resistance.
Mathematics
2 answers:
4vir4ik [10]2 years ago
5 0

Answer:−47.0

​

​

Step-by-step explanation:Step 1. List horizontal (xxx) and vertical (yyy) variables

xxx-direction yyy-direction

t=\text?t=?t, equals, start text, question mark, end text t=\text?t=?t, equals, start text, question mark, end text

a_x=0a

x

​

=0a, start subscript, x, end subscript, equals, 0 a_y=-9.8\,\dfrac{\text m}{\text s^2}a

y

​

=−9.8

s

2

m

​

a, start subscript, y, end subscript, equals, minus, 9, point, 8, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction

\Delta x=12\,\text mΔx=12mdelta, x, equals, 12, start text, m, end text \Delta y=\text ?Δy=?delta, y, equals, start text, question mark, end text

v_x=v_{0x}v

x

​

=v

0x

​

v, start subscript, x, end subscript, equals, v, start subscript, 0, x, end subscript v_y=\text ?v

y

​

=?v, start subscript, y, end subscript, equals, start text, question mark, end text

v_{0x}=2.5\,\dfrac{\text m}{\text s}v

0x

​

=2.5

s

m

​

v, start subscript, 0, x, end subscript, equals, 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction v_{0y}=0v

0y

​

=0v, start subscript, 0, y, end subscript, equals, 0

Note that there is no horizontal acceleration, and the time is the same for the xxx- and yyy-directions.

Also, the pumpkin has no initial vertical velocity.

Our yyy-direction variable list has too many unknowns to solve for v_yv

y

​

v, start subscript, y, end subscript directly. Since both the yyy and xxx directions have the same time ttt and horizontal acceleration is zero, we can solve for ttt from the xxx-direction motion by using equation:

\Delta x=v_xtΔx=v

x

​

tdelta, x, equals, v, start subscript, x, end subscript, t

Once we know ttt, we can solve for v_yv

y

​

v, start subscript, y, end subscript using the kinematic equation that does not include the unknown variable \Delta yΔydelta, y:

v_y=v_{0y}+a_ytv

y

​

=v

0y

​

+a

y

​

tv, start subscript, y, end subscript, equals, v, start subscript, 0, y, end subscript, plus, a, start subscript, y, end subscript, t

Hint #22 / 4

Step 2. Find ttt from horizontal variables

\begin{aligned}\Delta x&=v_{0x}t \\\\ t&=\dfrac{\Delta x}{v_{0x}} \\\\ &=\dfrac{12\,\text m}{2.5\,\dfrac{\text m}{\text s}} \\\\ &=4.8\,\text s \end{aligned}

Δx

t

​

 

=v

0x

​

t

=

v

0x

​

Δx

​

=

2.5

s

m

​

12m

​

=4.8s

​

Hint #33 / 4

Step 3. Find v_yv

y

​

v, start subscript, y, end subscript using ttt

Using ttt to solve for v_yv

y

​

v, start subscript, y, end subscript gives:

\begin{aligned}v_y&=v_{0y}+a_yt \\\\ &=\cancel{0\,\dfrac{\text m}{\text s}}+\left(-9.8\,\dfrac{\text m}{\text s}\right)(4.8\,\text s) \\\\ &=-47.0\,\dfrac{\text m}{\text s} \end{aligned}

v

y

​

​

 

=v

0y

​

+a

y

​

t

=

0

s

m

​

​

+(−9.8

s

m​

)(4.8s)

=−47.0

s

m

Mkey [24]2 years ago
3 0

Answer:

-47.0

Step-by-step explanation:

You might be interested in
What's the answer for this? Explain
alexandr402 [8]
Exterior angle is equal to sum of interior opposite angles hence,

req. angle = 80 + 62 = 142
6 0
3 years ago
Read 2 more answers
What’s the slope of -2,-3 and -4,-9
Dmitry_Shevchenko [17]

Answer:

m = 3

Step-by-step explanation:

Find the slope of the line connecting (-2,-3) and (-4,-9).  (Note:  you must use those parentheses.)

As we go from x= -4 to x = -2, an increase of 2, y increases by 6 from -9 to -3.  The slope of this line is m = rise / run = 6/2 = 3.

6 0
3 years ago
Read 2 more answers
This figure is 14 of a circle.
Wittaler [7]

Answer:

The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

Step-by-step explanation:

Given : A quarter of a circle with radius labeled 2 in.

Quarter of circle means fourth part of a circle  (as shown in image by shaded part).

We have to find the perimeter of this shaded quarter of circle.

Perimeter is the sum of the dimension of the given figure.

Perimeter of circle is 2\pi r

Since, we are given Quarter circle so its perimeter \frac{2}{4} \pi r+r+r=\frac{1}{2} \pi r+r+r

Perimeter of given figure = \frac{1}{2} \pi r+r+r

Perimeter of given figure = \frac{1}{2}\cdot 3.14 \cdot 2+2+2=3.14+4=7.14

Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

6 0
3 years ago
Read 2 more answers
(1a) Do 4x and 15 + x have the same value when x is 5? How do you know?
diamong [38]

Answer:

Yes, both have the same value ( 20) when x = 5.

Step-by-step explanation:

We have two functions:

y = 15 + x

y = 4*x

We want to see if these functions have the same value when x = 5.

Then we just need to replace x by 5 in both equations, and see if the values of y are the same

first function:

y = 15 + 5 = 20

second function:

y = 4*5 = 20

So yes, both functions are equal to 20 when x = 5.

5 0
2 years ago
Read 2 more answers
Last month a car dealership sold 80 cats. Of all cars sold 15% of them were red how many cars that were sold were red
telo118 [61]

Answer:

12

Step-by-step explanation:

Multiply 80 by .15

5 0
2 years ago
Read 2 more answers
Other questions:
  • 7.2 x 12 x 0.23 = ? Round to the nearest hundredth. 
    5·2 answers
  • -4(4-3p) help me with this question
    14·2 answers
  • 4/5 of the cake was left, but after Brian ate some only 1/4 of the cake was left. Which fraction of the cake did Brian eat?
    6·1 answer
  • Can you answer ASAP PLZ answer with work
    14·1 answer
  • PLEASE HELP ASAP, I ONLY HAVE AN HOUR!!!!!!!! HURRY!!!!!!!!!
    5·1 answer
  • Raven needs new winter boots. Both ShoeTown and LaceUp shoe stores carry the boots she wants to buy. The boots are regularly pri
    10·1 answer
  • Simplify the expression below 12 divided by (2+1)
    11·1 answer
  • the zero of the quadratic polynomial x^2+99x+127 are a both positive b both negative c one +ve one-ve d both equal. please help​
    15·2 answers
  • WILL GIVE BRANLIEST
    6·1 answer
  • Please help please please
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!