A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin.

Part A

In which direction is the puck moving at t = 3 s ? Give your answer as an angle from the x-axis.

Express your answer using two significant figures.

Answers

Answer 1

On a frictionless horizontal table, the rocket-powered hockey puck moves at an angle of 61.9° above the horizontal in 3 seconds.

what are significant figures ?

The significance of non-zero digits is constant. Between any two significant digits, there can be no zeros. Only the final or trailing zeros in the decimal section are important. Between any two non-zero digits, all zeros are important. Seven significant digits are seen in, for instance, 108.0097. There is never any significance for any zeros that are both to the right and left of the decimal point and a digit that is not zero.

given

Then, using the formula that relates the tangent of angle, vertical component of velocity, and horizontal component of velocity to find the direction in which the puck is moving.

Displacement is the smallest distance between the two points.

The vector representation of velocity is,

s = 1/2at2

= 1 .80 m

The puck moves at an angle 61.9° above the horizontal.

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Related Questions

Do you need to simplify 3/12?

Answers

Answer: Yes

You still need to simplify 3/12 because it is not in its MOST simplified form.

3/12 can be simplified to 1/4 by dividing 3.

A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12

Answers

Answer: The height of street sign = 15

Step-by-step explanation:

At the same time, the angle made by the light on each object is the same.

Pole and street sign both standing vertical to the ground.

So triangle made by both of them are similar

The sides of similar triangles are proportional,

[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]

Hence, the height of street sign = 15

PLEASE HELP MEEE !!!!

Answers

Given:

The figure of a trapezium.

To find:

The measures of missing angle [tex]m\angle K, m\angle M[/tex].

Solution:

In the given figure [tex]JK\parallel ML[/tex].

If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.

[tex]m\angle J+m\angle M=180^\circ[/tex]         (Supplementary angles)

[tex]87^\circ+m\angle M=180^\circ[/tex]

[tex]m\angle M=180^\circ-87^\circ[/tex]

[tex]m\angle M=93^\circ[/tex]

Similarly,

[tex]m\angle L+m\angle K=180^\circ[/tex]         (Supplementary angles)

[tex]51^\circ+m\angle K=180^\circ[/tex]

[tex]m\angle K=180^\circ-51^\circ[/tex]

[tex]m\angle K=129^\circ[/tex]

Therefore, [tex]m\angle M=93^\circ[/tex] and [tex]m\angle K=129^\circ[/tex].

alexander is counting his money from his piggy bank. he stacks four quarters per pile. there are 21 piles of quarters.

how many quarters does he have?

Answers

Answer:

He has 84 quaters

Step-by-step explanation:

all you really have to do is multiply 4 times the number of stacks and you get 84

What is 2x^3 if x=3?

Answers

Answer:

2^3 when x=3

2*3^3

6^3

6*6*6

36*6

=192

Step-by-step explanation:

Please help me I dont really understand
(this is 12 year old math)

Answers

Answer:

S represents sasha and B represents brother.

Equation is s = b + 4

11

13

16

24

Step-by-step explanation:

Let s represent Sasha

Let b represent brother

Answer:

When B is 7, S is 3.

When B is 9, S is 5.

When S is 20, B is 24.

When S is 28, B is 32.

The three angles of a quadrilateral are 55,73,105 what is the fourth angle

Answers

Answer:

127°

Step-by-step explanation:

In a quadrilateral, sum of four angles is 360°.

Consider the fourth angle x.

so,

55° + 73° + 105° + x = 360°

x = 360° - 233°

x = 127°

The quadrilateral must equal 360°. You already know 3 of the sides so add them up and subtract it from 360.

360-233= 127

The fourth angle is 127°

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill , 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?​

Answers

Answer: 2/75:)

Step-by-step explanation:

B +2.01 =5.5 what dose b equal

Answers

Answer:

3.49

Step-by-step explanation:

B = 5.5-2.01 = 3.49

have a great day!

Answer:

b=3.49

Step-by-step explanation:

5.5 - 2.01 = 3.49

2.01 + 3.49 = 3.49

can I have brainllest

HURRY ITS A TIME TEST!!

Which of the following sets of three side lengths determine no triangle?
2 feet, 2 feet, 3 feet
2.5 feet, 3.5 feet, 6.5 feet
4.1 feet, 5.2 feet, 6.3 feet
5 feet, 7.4 feet, 12 feet

Answers

Answer:

https://www.cbsd.org/cms/lib010/PA01916442/Centricity/Domain/2623/Similar%20Figures%20Worksheet%202%20answer%20key.pdf

Step-by-step explanation:

Mrs. Scott opened an account with a deposit of $1,750. The bank pays 5% annual simple interest on this account. Mrs. Scott makes no additional deposits or withdrawals. How much interest will the account have earned at the end of 2 years?

Answers

Answer:

At the end of two years Mrs.Scott earned $1929.36 (i rounded the dec.)

Step-by-step explanation:

A= p(1+r)^t

P= 1750

r= .05

t= 2

A= 1750(1+.05)^2

A= 1929.375

Which is the most accurate away to estimate 48% of 21?

A: 1/2 x 22
B: 1/4 x 22
C: 1/2 x 20
D: 1/4 x 20

Answers

A- because 48% is close to 50% which is 1/2

What is the perimeter of woods in feet

Answers

Answer:

what are the side lengths/ measurements of the forest?

Step-by-step explanation:

ill edit the answer once i get more info

Which of the following is equivalent to log 2 (c)⋅log c (2)

Answers

Answer:

1

Step-by-step explanation:

According to law of indices

log a b = 1/ log b a

hence log c (2) = 1/log 2 (c)

log 2 (c)⋅log c (2)

=  log 2 (c)⋅ 1/log 2 (c)

= log 2 (c)/log 2 (c)

= 1

Hence the required answer is 1

A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles of the
same measure with the ground. The 4-foot ladder has a height of 3.8 feet against the house.
Help please!!

Answers

Answer:

The 9-foot ladder would have a height of 8.55 ft against the house

Step-by-step explanation:

The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.

Therefore, the 9 foot and the 4 foot ladder forms the same angle.

The 4 foot ladder forms a 3.8 ft height against the wall.

Hence,

sin ∅ = opposite/ hypotenuse

sin ∅ = 3.8 / 4

∅= sin⁻¹ 0.95

∅ = 71.8051276612

∅ = 71.8°

Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.

learn more on right triangle here: https://brainly.com/question/22894739

Can someone please help me I’ll give brilliant thingy

Answers

Answer:

Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.

Step-by-step explanation:

For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.

In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.

To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.

9/6 = 3/2

12/8 = 3/2

15/10 = 3/2

Alternatively:

6/9 = 2/3

8/12 = 2/3

10/15 = 2/3

Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.

Given that both conditions are satisfied, then we can say these triangles are similar.

Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.

Cheers.

What is the y-intercept to (-2,1) (3,-6)

Answers

Answer:

(0,-9/5)

Step-by-step explanation:

You  can use the equation y=mx+b to solve

First you have to find the slope (m)

You can do this by using the equation y2-y1=x2-x1

(-6-1)/(3--1)= -7/5

m=-7/5

You  then use the slope to find out b or the "y-intercept"

I am using the point (-2,1) to substitute

(1)=-7/5(-2)+b

-9/5=b

y=-7/5x-9/5

Check (3,-6):

(-6)=-7/5(3)-9/5

-6=-21/5- 9/5

-6=-6 true

In the expression 2x + y - 4, the coefficient of y is...

Answers

Answer:

1

Step-by-step explanation:

If a term does not have a written coefficient, then the coefficient is one.

This is because 1(y) = y

Answer:

1

Step-by-step explanation:

there is an "understood" 1 as the coefficient of any blank variable

but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)

pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)

Answers

Photic zone: seaweeds and corals live here

aphotic zone: mid-ocean level where no light reaches

deep ocean floor: animals that glow are found here

Hope this helped!

Answer:

deep ocean floor - animals that glow are found here

photic zone - seaweeds and coral live here

aphotic zone mid-ocean level where no light reaches

Step-by-step explanation:

I rly hope this helps!! :D

If p is true and ~q is false then p -> ~q is ___ false.

Sometimes
Always
Never

PLEASE HELP ME

Answers

The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.

1. Write the expression:
(1.75 x 10^)(1.2 x 102)
2. Rearrange the expression: (1.75 X 1.2)(104 x 103)
3. Multiply the coefficients: (2.1)(104 x 103)
4. Apply the product of powers: 2.1 x 104
The rocket ship will travel 2.1 x 109 miles. What is the value of y in the solution?
y = 1

Answers

Complete question is;

A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?

1. Write the expression:       (1.75 × 10⁴)(1.2 × 10²)

2. Rearrange the expression:     (1.75 × 1.2)(10⁴ × 10²)

3. Multiply the coefficients:      (2.1)(10⁴ × 10²)

4. Apply the product of powers:    2.1 × 10^(y)

The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?

Answer:

Distance travelled by rocket ship = 2.1 × 10^(6) miles

y = 6

Step-by-step explanation:

1. The written expression;

(1.75 × 10⁴)(1.2 × 10²)

2. The rearranged expression is;

(1.75 × 1.2)(10⁴ × 10²)

3. Let's multiply the coefficient which is the first bracket to get;

2.1(10⁴ × 10²)

4. Applying the product of powers means we will add the powers of ten which are 4 and 2.

Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles

Comparing to 2.1 × 10^(y), we have;

y = 6

Liz flips a coin 50 times. The coin lands heads up 15 times and tails up 35 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
Type an integer or a decimal.

Answers

Answer:

Theoretical Probability: 30%

Integer/decimal: 0.30

Step-by-step explanation:

how many solutions will this quadratic equation x^2+8x+16 has?

Answers

hii i think it’s 3 i’m not sure tho bestue

Answer:

one solution

Step-by-step explanation:

to find out how many solutions a quadratic equation (with the equation ax²+bx+c) will have, we need to find the discriminant, which is b²-4ac

first, we can label the coefficients as a, b, and c

a=1 (1 is in front of x²)

b=8

c=16

now substitute into the formula

D=(8)²-4(1*16)

D=64-64

D=0

the discriminant is 0

when the discriminant is 0, that means the quadratic equation only has one solution.

Hope this helps!

fill in the box below to write an expression that is equivalent to​

Answers

Answer:

6y

Step-by-step explanation:

Hope this helped!

Find the area of the figure to the nearest tenth.
165 7 in

Answers

Answer:

141.1 in

Step-by-step explanation:

r^2*theta

7^2*165pi/180

141.1

Answer:

Step-by-step explanation:

five more than the product of 9 and a number u

Answers

Answer:

9u + 5

Step-by-step explanation:

five more than the product of 9 and a number u. i.e.,

(9 × u) + 5

9u + 5

-TheUnknownScientist

Answer:

5 more than means + 5

and it is saying product of the no u with 9 so 9u

9u +5

which graph has the equation y=2/3x ?

Answers

Answer:

No that is not the graph for that equation The graph for it would be.

Step-by-step explanation:

Answer:

The graph in the picture has the following function: y=3/2x

look attachment for the graph of y=2/3x

‼️ PLEASE HELPPPP ‼️

Answers

Answer:

not sure if im right cause its blurry but the first one is 10 the 2nd one is 15

Step-by-step explanation:

i think its blurry tho

6x+
?
= 10x


6x−
?
= 2x

6x+
?
= 2x


6x−
?= 10x

6x+
?
=- 10x


6x−
?
= x

6x+
?
= 0


6x−
?
= 6

6x+
?
= 10


6x−
?
= 4x - 10

Answers

Step-by-step explanation:

6x+

?

= 10x

6x−

?

= 2x

6x+

?

= 2x

6x−

?= 10x

6x+

?

=- 10x

6x−

?

= x

6x+

?

= 0

6x−

?

= 6

6x+

?

= 10

6x−

?

= 4x - 10

6x+

?

= 10x

6x−

?

= 2x

6x+

?

= 2x

6x−

?= 10x

6x+

?

=- 10x

6x−

?

= x

6x+

?

= 0

6x−

?

= 6

6x+

?

= 10

6x−

?

= 4x - 10

2. A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. Show your work and/or explain how you got your answer. Don't forget to label your answers CDE=​

Answers

Answer:

おリム。羅語尾。、、利徒歩と

ラトソオコテユタソヨ保とソトコトThe野母

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