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
romanna [79]
3 years ago
11

A speedboat is approaching a dock at 25 m/s (56 mph). When the dock is 150 m away, the driver begins to slow down. a) What accel

eration must the boat have to come to a stop just as it arrives at the dock? b) If the braking acceleration of the boat has a maximum magnitude of 1.0 m/s^2-, how fast is the boat going when it hits the dock? Convert your result to mph. c) If the braking acceleration of the boat has a maximum magnitude of 1.0 m/s^2, at what distance from the dock should the driver have begun slowing down?
Physics
1 answer:
trasher [3.6K]3 years ago
5 0

Answer:

a) -2.038 m/s²

b) 40.33 mph

c) 312.5 m

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-25^2}{2\times 150}\\\Rightarrow a=-2.083\ m/s^2

Acceleration of the boat is -2.083 m/s² if the boat will stop at 150 m.

v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times -1\times 150+25^2}\\\Rightarrow v=18.03\ m/s

Speed of the boat by when it will hit the dock is 18.03 m/s

Converting to mph

1\ mile=1609.34\ m

1\ h=3600\ seconds

18.03\times \frac{3600}{1609.34}=40.33\ mph

Speed of the boat by when it will hit the dock is 40.33 mph

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-25^2}{2\times -1}\\\Rightarrow s=312.5\ m

The distance at which the boat will have to start decelerating is 312.5 m

You might be interested in
What question did use of a telescope by hubble answer A) Is earth the center of the universe B) Is the sun the center of the uni
cestrela7 [59]

Answer: C

Explanation:

3 0
3 years ago
Read 2 more answers
The lungs are located in the chest true or false
jarptica [38.1K]
That is False they are actually located in your stomach area
8 0
2 years ago
Read 2 more answers
In nuclear physics wht units are used to measure the radius of an atom ?
Alecsey [184]
Angstrom = 10^-10 m
for nucleus size are used fermi (femtometer  10^-15 m )
6 0
3 years ago
What are atoms and molecules constantly doing?
Alexus [3.1K]

A. molecules are CONSTANTLY moving.

7 0
3 years ago
Read 2 more answers
A soccer ball is kicked horizontally and rolled off of a 30 meter high cliff. The soccer ball was kicked with a velocity of 17m/
Montano1993 [528]

Answer:

i am doing this rn

Explanation:

COMMENTS

8 0
3 years ago
Other questions:
  • The downward pull of an object due to gravity is the objects _______?
    5·2 answers
  • How do fossils provide evidence that evolution has occurred?
    9·1 answer
  • How much bigger is the diameter of the earth compared to pluto?
    9·1 answer
  • As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself.There is no one ar
    8·1 answer
  • What time of the day do you feel the most Energetic and what do you usually do in those moments?​
    11·2 answers
  • Which term below best matches this definition - a period in European history when many educated people stressed the importance o
    9·1 answer
  • Based on the data, which prediction should he expect to occur? A2 repels B1. C2 attracts B2. B1 repels C1. A1 attracts C2.
    6·1 answer
  • 5. Which of these affect the brightness of a bulb? Choose all that apply.* 6 po
    8·1 answer
  • PLEASE HELP DUE TODAY!!
    11·1 answer
  • A student measures the voltage and current between two points in an electrical circuit. If the voltage is 220 V and the current
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!