2) The position of a particle is given by x = 4.00-5.00t + 3.00t² (all constants and variables are in SI appropriate units) (a) What is its instantaneous velocity and acceleration at t = 3.00 s? (b) At what time is the particle at rest?

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Chapter1: Units, Trigonometry. And Vectors
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The position of a particle is given by x = 4.00 - 5.00t + 3.00t? (all constants and variables are in SI appropriate units) (a) What is its instantaneous velocity and acceleration at t=3.00 s? (b) At what time is the particle at rest? I need to show all work
2) The position of a particle is given by x = 4.00-5.00t +3.00t2 (all constants and variables are in
SI appropriate units) (a) What is its instantaneous velocity and acceleration at t= 3.00 s? (b) At what
time is the particle at rest?
3) From the v versus t graph below estimate: (a) the average velocity for the first 6.0 s; (b) the average
Transcribed Image Text:2) The position of a particle is given by x = 4.00-5.00t +3.00t2 (all constants and variables are in SI appropriate units) (a) What is its instantaneous velocity and acceleration at t= 3.00 s? (b) At what time is the particle at rest? 3) From the v versus t graph below estimate: (a) the average velocity for the first 6.0 s; (b) the average
Draw a picture
Label which directions
are positive (x- and
y-), and label relevant
quantities on diagram
Find a second
equation...
...if you're missing a
quantity needed to use
an equation. Draw up a
plan on how to link the
equations & quantities
Solve for the
quantity without
using numbers
Physics Problem Flow Chart
Draw a
second
picture...
Identify
explicitly given
values
First cancel any quantities that
are zero. Use algebra to isolate
the quantity you need on one
side of the equals sign. Check
with dimensional analysis
...if you have
BEFORE/AFTER
situations, force
additions, vector
component diagrams
Find relevant
equation(s)
One that links the given
quantities to the quantity
you need to find
Sub in
numbers on
paper
Make sure units of
each number are
correct before you
substitute in values
into the equations
Write all given actual
numbers in terms of
variables. For previously
calculated values, use values
before rounding for sig figs
Identify required
quantity and
type of problem
Look for keywords like
"when", "how far", "how
fast", etc. Get type of
problem from quantities
given/sought
Use calculator
to find value
Use as few presses of
the "=" or "ENTER"
button as possible.
Keep extra sig figs until
next step
Identify
implicitly given
values
Wording that implies
specific values: e.g. "at
rest", "comes to a stop",
"dropped", "smooth
surface", "constant velocity"
Calculate/convert
easily derived
quantities
For example, the x- and y-
components of
velocity/force vectors, or the
force of gravity given the
mass
Write conclusion
statement with
correct sig figs
In plain English with
correct units
Transcribed Image Text:Draw a picture Label which directions are positive (x- and y-), and label relevant quantities on diagram Find a second equation... ...if you're missing a quantity needed to use an equation. Draw up a plan on how to link the equations & quantities Solve for the quantity without using numbers Physics Problem Flow Chart Draw a second picture... Identify explicitly given values First cancel any quantities that are zero. Use algebra to isolate the quantity you need on one side of the equals sign. Check with dimensional analysis ...if you have BEFORE/AFTER situations, force additions, vector component diagrams Find relevant equation(s) One that links the given quantities to the quantity you need to find Sub in numbers on paper Make sure units of each number are correct before you substitute in values into the equations Write all given actual numbers in terms of variables. For previously calculated values, use values before rounding for sig figs Identify required quantity and type of problem Look for keywords like "when", "how far", "how fast", etc. Get type of problem from quantities given/sought Use calculator to find value Use as few presses of the "=" or "ENTER" button as possible. Keep extra sig figs until next step Identify implicitly given values Wording that implies specific values: e.g. "at rest", "comes to a stop", "dropped", "smooth surface", "constant velocity" Calculate/convert easily derived quantities For example, the x- and y- components of velocity/force vectors, or the force of gravity given the mass Write conclusion statement with correct sig figs In plain English with correct units
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