hello, my name is professor duitt i’m here to show you the method we require for solving problems!

Hello, My name is Professor Duitt

I’m here to show you themethod we REQUIRE for

solving problems!

It’s called the

This method will help you with a systematic

approach to solving eventhe most difficult problems.

Let’s look at a very simpleproblem to start with so wecan focus on the different

steps of the format.

How long would it take a F-15 Eagle jet fighter traveling at 662 m/s (Twice the speed of sound, 1481 mi/hr or Mach 2) to fly 1609m (one mile)?

How long would it take a F-15 Eagle jet fighter traveling at 662 m/s (Twice the speed of sound, 1481 mi/hr or Mach 2) to fly 1609m (one mile)?

Step#1:Read the problem!

You may want to underline key terms.

How long would it take a F-15 Eagle jet fighter traveling at 662 m/s (Twice the speed of sound, 1481 mi/hr or Mach 2) to fly 1609 m (one mile)?

662 m/s1609 m

How long


662 m/s1609 m

How longStep#2:

List the knowns andunknowns in a

COLUMN


662 m/s1609 m

How long

t = ?v = 662 m/ss = 1609 m


662 m/s1609 m

How long

t = ?v = 662 m/ss = 1609 m

v =st

Step#3: Write the equation needed,

to solve the problem, in the most familiar

form.

Equations as given on the NYS Regents Reference Tables are acceptable as

“the most familiar form”.


662 m/s1609 m

How long

t = ?v = 662 m/ss = 1609 m

Step#4: Rearrange the equationsolving for the variable

you are looking for.

v =st

v =

st

t t

v =

s t v v

=

s t v


662 m/s1609 m

How long

t = ?v = 662 m/ss = 1609 m

Step#5: Substitute for the known quantities the numerical values along with their

appropriate units.

v =st

v =

st

t t

v =

s t v v

=

s t v

1609 m = t

662 m s


662 m/s1609 m

How long

t = ?v = 662 m/ss = 1609 m

Step#6:Solve!

Remember to include units in your answer.

v =st

v =

st

t t

v =

s t v v

=

s t v

1609 m = t

662 m s

t =

2.4 s

Let’s Review.

1. Read the problem.

2. List the knowns and unknowns.

3. Write an equation in the most familiar form.

5. Substitute with numbers and units.

6. Solve and include units in the answer.

4. Rearrange the equation solving for theunknown variable.

Sometimes it helps to draw a simple neat diagram of the problem instead of listing the information

in columnar form.

I’ll demonstrate using a little more complicated problem

how a diagram will help organize the information.

Keep in mind the steps to the

as the problem is solved.

A car speeding away from a stop sign, accelerates at 4 m/s2 for 3 sec. If the car then maintains this speed, how far is it from the stop sign 23 seconds after starting?

1. Read the problem.


t = 0 s t = 3 s t = 23 svo = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

2. List the knowns and unknowns.

a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s


s1 = vot + at2

2

a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = vot + at2

2

0

s1 = at2

2


a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = vot + at2

2

0

s1 = at2

2

s1 = 4 m (3 s)2

2s2


a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = vot + at2

2

0

s1 = at2

2

s1 = 4 m (3 s)2

2s2

s1 = 18 m


s1 = 18 m

a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m


v3 = v0 + a1t

a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = v0 + a1t0


v3 = a1t

a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = v0 + a1t0

v3 = a1t

v3 = 4 m (3 s)s2


a1 = 4 ms2

sT = ?v2 = constant


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = v0 + a1t0

v3 = a1t

v3 = 4 m (3 s)s2


v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

v3 = 12 ms

v2 = constantbackgroundv2 = 12 mssT = ?


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2


stv =

backgroundv2 = 12 mssT = ?


t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

stv =


s = v t



t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

stv =

s = v t


s = 12 m (20 s)s



t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

stv =

s = v t

s = 12 m (20 s)s

s = 240 m


s2 = 240 m



t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

s2 = 240 m


stotal = s1 + s2



t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

s2 = 240 m

stotal = s1 + s2




t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

s2 = 240 m

stotal = s1 + s2


stotal = 18 m + 240 m



t = 0 s t = 3 s t = 23 sv0 = 0 s v3 = ? v23 = ?

s1 = ? s2 = ?

t2 = 20 s

s1 = 18 m

v3 = 12 ms

v23 = 12 ms

a1 = 4 ms2

s2 = 240 m

stotal = s1 + s2

stotal = 18 m + 240 m


stotal = 258 m

WOW!

backgroundv2 = 12 mssT = ?stotal = 258 m

Let’s go over the six steps

Underline key information if needed

Read the problem.

In a column or preferably a diagram.

List the knowns and unknowns.

Write an equation in the most familiar form.

c2 = a2 + b2example

nota = (c2 - b2)

12

Rearrange the equation solving for theunknown variable.

Substitute in the numbers and units.

Solve and include units in the answer.

Draw a box around the answer.

hello, my name is professor duitt i’m here to show you the method we require for solving problems!

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