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
frosja888 [35]
3 years ago
14

As an airplane is taking off at an airport its position is closely monitored by radar. The following three positions are measure

d with their corresponding times: x1 = 241.22 m at t1 = 3.70 s, x2 = 297.60 m at t2 = 4.20 s, x3 = 360.23 m at t3 = 4.70 s. What is the acceleration of the airplane at t2 = 4.20 s? (Assume that the acceleration of the airplane is constant.)
Physics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

Answer: acceleration a = 25m/s^2

Explanation:

Given that:

The plane travels with constant acceleration

x1 = 241.22 m at t1 = 3.70 s

x2 = 297.60 m at t2 = 4.20 s

x3 = 360.23 m at t3 = 4.70 s.

We need to calculate the velocity in the two time intervals.

Interval 1:

Average Velocity v1 = ∆x/∆t = (x2 - x1)/(t2-t1)

v1 = (297.60-241.22)/(4.20-3.70) = 112.76m/s

Interval 2:

Average Velocity v2 = ∆x/∆t = (x3-x2)/(t3-t2)

v2 = (360.23-297.60)/(4.70-4.20)

v2 = 125.26m/s

Acceleration:

Acceleration a = ∆v/∆t

∆v = v2-v1 = 125.26m/s-112.76m/s = 12.5m/s

∆t = change in average time of the two intervals = (t3-t1)/2 = (4.70-3.70)/2 = 0.5s

a = 12.5/0.5 = 25m/s^2

You might be interested in
A sling-thrower puts a stone (0.250 kg) in the sling’s pouch (0.010 kg) and then begins to make the stone and pouch move in a ve
IrinaK [193]

Answer:

The cord will break at the lower point.

The linear velocity:

V=8,72m/s

Explanation:

The cord will break at the lower point, as this point is where the maximum tension will be at any given speed. This is because at the lower point to maintain the circular movement the cord must withstand the centripetal force plus the gravity force that goes on the opposite direction. To explain this, to maintain the circular movement the stone must always be subjected to a resultant force equal to the centripetal force:

(1)F_{T}=F_{c}=m*r*w^{2}

This is constant for a given speed and radius. The total force is the sum of all the forces on the stone, in this case the gravitational force(W) and the cord tension(T). On the upper point they are on the same direction:

F_{TU}=F_{c}=T+W => T=F_{c}-W

On the lower point they have opposite directions:

(2)F_{TL}=F_{c}=T-W => T=F_{c}+W

As the centripetal force and weight are constant for a given speed and radius, the tension on the lower point is bigger.

As the cord will break at 33N at the lower point, from (2):

T=F_{c}+W=33N

F_{c}=33N-W=33N-(0,25kg+0,01kg)*9,8m/s^{2}=30,45N

replacing on (1):

F_{c}=30,45N=m*r*w^{2}

w=\sqrt{\frac{30,45N}{m*r} } =\sqrt{\frac{30,45N}{0,26kg*0,65m} } =13,42/s

The linear velocity:

V=w*r=13,42/s*0,65m=8,72m/s

7 0
3 years ago
Speedy Sue, driving at 32.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 170 m ahead traveling with veloci
yarga [219]

Answer:

10.89 seconds

229.895 m

Explanation:

Distance van travels

x_v=170+5.5t+\dfrac{1}{2}0t^2\\\Rightarrow x_v=170+5.5t

Position of car

x_c=0+32t+\dfrac{1}{2}-2t^2\\\Rightarrow x_c=32t-t^2

They are equal

170+5.5t=32t-t^2\\\Rightarrow 17+5.5t-32t+t^2\\\Rightarrow t^2-26.5t+170=0\\\Rightarrow 10t^2-265t+1700=0

t=\frac{-\left(-265\right)+\sqrt{\left(-265\right)^2-4\cdot \:10\cdot \:1700}}{2\cdot \:10}, \frac{-\left(-265\right)-\sqrt{\left(-265\right)^2-4\cdot \:10\cdot \:1700}}{2\cdot \:10}\\\Rightarrow t=15.6, 10.89\ s

The collision occurs at 10.89 seconds

x_v=170+5.5\times 10.89\\\Rightarrow x_v=229.895\ m

Collision occurs at 229.895 m from the starting point

5 0
3 years ago
Consider the reaction.
BaLLatris [955]

Answer:

Explanation:

Consider the reaction.A(g)↽−−⇀Z(g)A

A

(

g

)

↽

−

−

⇀

Z

(

g

)

The equilibrium constant,

K

, expresses the relationship between the concentrations of the species at equilibrium.

(g)

The energy of A-A bond in A is 98 kJ/mol. The energy of Z-Z bond in Z is 165 kJ/mol. Which statement about the reaction is correct?

1) The activation energy for the forward reaction, Reaction ↽−+X(g)AX(g), is smaller than the activation energy for the reverse reaction, Reaction ⇀+AX(g)↽−.

2) The amount of energy released when A and Z combine to form AX will be greater than the total energy needed to break both A-A and Z-Z bonds (above).

3) The amount of energy released when A and Z combine to form AX will be less than the total energy needed to break both A-A and Z-Z bonds.

4) The activation energy for the forward reaction, Reaction ↽−+X(g)AX(g), is greater than the activation energy for the reverse reaction, Reaction ⇀+AX(g)↽−.

5) The energy of A-A bond in A is greater than the energy of Z-Z bond in Z.

1) The activation energy for the forward reaction, Reaction ↽−+X(g)AX(g), is smaller than the activation energy for the reverse reaction, Reaction ⇀+AX(g)↽−.

It is correct that the activation energy for Reaction ↽−+X(g)AX(g) is smaller than that for Reaction ⇀+AX(g)↽−, because AX is less stable than A or Z, so it takes less energy to break the weaker bond in AX.

2) The amount of energy released when A and Z combine to form AX will be greater than the total energy needed to break both A-A and Z-Z bonds (above).

3) The amount of energy released when A and Z combine to form AX will be less than the total energy needed to break both A-A and Z-Z bonds.

Option (2) is incorrect because, though the formation of AX requires energy, which is not needed for the formation of A or Z; however, the total energy required to break both A-A and Z-Z bonds (above) is more than the amount released when A and Z combine to form AX.

Option (3) is incorrect because the amount of energy released when A and Z combine to form AX will be greater than the total energy needed to break both A-A and Z-Z bonds (above).

4) The activation energy for the forward reaction, Reaction ↽−+X(g)AX(g), is greater than the activation energy for the reverse reaction, Reaction ⇀+AX(g)↽−.

8 0
3 years ago
DOUBLE POINTS!!!!
Nataly_w [17]

Explanation:

C.

Object A will require more force to be set in motion but will travel faster than object B.

2. true

7 0
3 years ago
What negative influences must be avoided to be able to achieve your goal mention at least 3​
LuckyWell [14K]

The negative influences that must be avoided in order to achieve your goal are excuses, procrastination and distractions.

<h3>What is negative influence?</h3>

A negative influence is someone or something that induces negative or bad action in someone. This bad influence can create bad energy within and corrupt good mind.

<h3>Three negative influence to avoid</h3>
  • Avoid excuses
  • Avoid procrastination
  • Avoid distractions.

Thus, the negative influences that must be avoided in order to achieve your goal are excuses, procrastination and distractions.

Learn more about negative influences here: brainly.com/question/1666465

6 0
3 years ago
Other questions:
  • The amplitude of a system moving in simple harmonic motion is doubled. Determine by what factor the following change.
    11·1 answer
  • Which of the following explains what is meant by the statement "scientific knowledge is universal"?
    8·1 answer
  • Rank the following in order of increased size? A. Proton B. Nucleus C. Electron D. Atom
    6·1 answer
  • Will mark as brainliest if correct!!!!!!!
    9·1 answer
  • A stone is whirled at the end of a rope 25m long makes 8 complete revolution in two seconds find its centripetal force and centr
    10·1 answer
  • 1. The matter a wave travels through is called a
    9·1 answer
  • A 0.50 kilogram ball is held at a height of 20 meters. What is the kinetic energy of the ball when it reaches halfway after bein
    6·1 answer
  • Why does carpet produce static electricity more than hardwood floors?
    12·2 answers
  • The acceleration of an object would increase if there was an increase in:
    5·1 answer
  • Given below are the names of some objects and materials: Water, basket ball, orange, sugar, globe, apple and earthen pitcher Gro
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!