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
kirill115 [55]
3 years ago
8

A speed boat increases its speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a distance of 2.00 x 10^2m. (a) Draw a coordin

ate system for this situation and lable the releveant quantities, including vectors. (b) For the given information, what single equatino is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for t he boats acceleration in terms of vf, va, and Δx. (d) Substitute given values, obtaining that acceleration. (e) Find the time it takes the boat to travel the given distance?

Physics
1 answer:
pychu [463]3 years ago
8 0

a) See graph in attachment

b) The suvat equation to use is v_f^2 - v_i^2 = 2as

c) The acceleration is a=\frac{v_f^2-v_i^2}{2s}

d) The acceleration is 1.25 m/s^2

e) The time needed is 8 s

Explanation:

a)

For this part, find in attachment the diagram representing this situation.

Since we are not given any particular direction for the motion, we choose the x-direction as the direction of motion of the boat.

Then we have the following:

- The initial position of the boat is x_i = 0, the origin

- The  final position of the boat is x_f = 200 m

- The initial velocity of the boat is v_i = 20.0 m/s

- The final velocity of the boat is v_f = 30.0 m/s

Note that the arrow representing the final velocity is longer than that of the initial velocity, since the final velocity is larger.

b)

The motion of the speed boat is a uniformly accelerated motion (motion at constant acceleration), therefore we can use one of the suvat equations. In this particular problem, we know the following quantities:

v_i = 20.0 m/s, the initial velocity

v_f = 30.0 m/s, the final velocity

s = x_f - x_i = 200 m, the  displacement of the boat

Therefore, the equation that best can be use to find the acceleration is

v_f^2 - v_i^2 = 2as

where

a is the acceleration

c)

Now we have to solve the equation

v_f^2 - v_i^2 = 2as

In order to find the acceleration.

This can be done by dividing both terms by 2s: this way, we find

\frac{v_f^2-v_i^2}{2s}=\frac{2as}{2s}

And so the acceleration is

a=\frac{v_f^2-v_i^2}{2s}

d)

Now we can use the equation found in part c) in order to find the acceleration.

We have the following data:

v_i = 20.0 m/s, the initial velocity

v_f = 30.0 m/s, the final velocity

s = x_f - x_i = 200 m, the  displacement of the boat

And substituting into the equation,

a=\frac{30^2-20^2}{2(200)}=1.25 m/s^2

e)

In order to find the time it takes the boat to travel the given distance, we can use the following suvat equation:

v_f = v_i + at

where:

v_i is the initial velocity

v_f is the final velocity

a is the acceleration

t is the time

Here we have:

v_i = 20.0 m/s

v_f = 30.0 m/s

a=1.25 m/s^2

Solving for t, we find:

t=\frac{v_f-v_i}{a}=\frac{30-20}{1.25}=8 s

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

You might be interested in
Describe how radio telescopes function.
FrozenT [24]

A radio telescope is simply a telescope that is designed to receive radio waves from space. In its simplest form it has three components:

1. One or more antennas to collect the incoming radio waves. Most antennas are parabolic dishes that reflect the radio waves to a receiver, in the same way as a curved mirror can focus visible light to a point.

2. A receiver and amplifier to boost the very weak radio signal to a measurable level. These days the amplifiers are extremely sensitive and are normally cooled to very low temperatures to minimise interference due to the noise generated by the movement of the atoms in the metal (called thermal noise).

3. A recorder to keep a record of the signal. Most radio telescopes nowadays record directly to some form of computer memory disk as astronomers use sophisticated software to process and analyse the data.

7 0
3 years ago
A cart is rolling down a ramp. if the angle of the ramp is increased to make the ramp steeper the cart will​
Westkost [7]
The speed of the carts descent will increase? Not quite sure what you’re asking.
8 0
3 years ago
The capacity of one brain area to take over the functions of another damaged brain area is known as brain: (2 points)
Ket [755]

Answer: Plasticity

Explanation: Plasticity is defined as the brain's ability to adapt to changes that may result from damage or birth defects. The adaptation that usually occurs is when affected area of the brain is taken over by healthy functioning cortex.

7 0
3 years ago
Greg and Tabitha are jogging together. At time t = 0, they are both traveling at a speed of 4 m/s, but Greg is 8 m ahead of Tabi
Ray Of Light [21]

Answer:

The answer to question is below

Explanation:

Data

t1 = 0

vo = 4 m/s

a)

      d = vot + \frac{1}{2} at^{2}

      d = 4t + \frac{1}{2} (1)t^{2} + 8

      d = 8 + 4t + \frac{t^{2} }{2}

b)

      d = 4t + \frac{1}{2} (1.5)t^{2}

      d = 4t + 0.75t^{2}

c)    

       8 + 4t + \frac{t^{2} }{2}  =  4t + 0.75t^{2}

       4t + \frac{1}{2} t^{2} + 8 = 4t + \frac{1}{2} (1.5)t^{2} \\

       0.75t^{2} - 0.5t^{2}  = 8

       0.25t^{2} = 8

                      t² = 32

                      t = 5.66 s

d)

      d = 4(5.66) + 0.75(5.66)²

      d = 22.64 + 24.02

      d = 46.67 m

8 0
3 years ago
Which is a derived unit? <br> a.) kilogram <br> b.) joule <br> c.) micrometer <br> d.) millimeter
Dovator [93]
Joule us a derived unit
5 0
3 years ago
Read 2 more answers
Other questions:
  • After getting a haircut, Joey’s barber spins him around in his barber’s chair 2 times per second. Is period or frequency given?
    7·1 answer
  • 4) You have a spring-loaded air rifle. When it is loaded, the spring is
    7·1 answer
  • Help with this one please! Please give correct answers!
    13·1 answer
  • What type of pressure is transmitted by fluids
    11·1 answer
  • What is the jet stream and how does it separate cold air to warm air?
    7·1 answer
  • In a Young's double-slit experiment, a set of parallel slits with a separation of 0.142 mm is illuminated by light having a wave
    8·1 answer
  • A garden hose with a diameter of 0.64 in has water flowing in it with a speed of 0.46 m/s and a pressure of 1.9 atmospheres. At
    12·1 answer
  • one thing that stringed, wind, and percussion instruments have in common in regard to the sounds they produce is that a. the ins
    13·2 answers
  • 5. What is the amplitude of the waves shown in the diagram below?
    10·1 answer
  • I believe the answer is D but wanted to make sure.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!