In: Physics

1) Which takes more work, slowing a car from 100km/h to 70km/h, or 70km/h to 0?

2) A 0.2kg falcon flies at 50m/s toward a 0.01kg shrew moving at 0.2m/s away from the falcon. What is the total kinetic energy of the falcon-shrew system?

A race car driver tested his car for the time it takes to go
from 0 to 60 mph, and for 20 tests obtained a mean of 4.85 seconds
with a standard deviation of 1.47 seconds. These times are known to
be normally distributed. What is the value of t used to construct a
95% confidence interval for the mean time it takes the car to go
from 0 to 60? Round your answer to 2 decimal places.

Work out the distance of the point [1, 0, 0, 0] from the
subspace W = ker T, where T : R 4 → R 2 is the linear map with
matrix A = {(1,2,2,0), (2,1,3,1)}

Which of the following had the job of slowing conduction of the
impulses from the atria to the atria to contract and empty their
blood volume into the ventricles?

1) Define a sequence of polynomials H n (x ) by H 0 (x )=1, H 1
(x )=2 x , and for n>1 by H n+1 (x )=2 x H n (x )−2 n H n−1 (x )
. These polynomials are called Hermite polynomials of degree n.
Calculate the first 7 Hermite polynomials of degree less than 7.
You can check your results by comparing them to the list of Hermite
polynomials on wikipedia (physicist's Hermite polynomials).
2)...

Consider the hypothesis test below.
H 0: p 1
- p 2 0
H a: p 1
- p 2 > 0
The following results are for independent samples taken from the
two populations.
Sample 1
Sample 2
n1 = 100
n2 = 300
p1 = 0.24
p2 = 0.13
Use pooled estimator of p.
What is the value of the test statistic (to 2
decimals)?
What is the p-value (to 4
decimals)?
With = .05, what is your hypothesis testing
conclusion?

(1) default constructor which initalizes all the coefficients to
0
(2) a constructor that takes three parameters public
QuadraticExpression(double a, double b, double c)
(3) a toString() method that returns the expression as a
string.
(4) evaluate method that returns the value of the expression at
x public double evaluate(double x)
(5) set method of a, b, c public void setA(double newA) public
void setB(double newB) public void setC(double newC)
(6) public static QuadraticExpression scale( double r,
QuadraticExpression q) returns...

1. Nitrogen (N) is more electronegative than hydrogen (H). Which
of the following is a correct statement about the atoms in ammonia
(NH3)?
A. There are covalent bonds between the hydrogen atoms and polar
bonds between each hydrogen atom and the nitrogen atom.
B. Ammonia has an overall negative charge.
C. The nitrogen atom has a partial positive charge; each
hydrogen atom has a partial negative charge.
D. Ammonia has an overall positive charge.
E. Each hydrogen atom has a...

(2pt) A variable that takes on the values of 0 or 1 and is used
to incorporate the effect of categorical variables in a regression
model is called
a.
a constant variable
b.
a dummy variable
c.
an interaction
d.
None of these alternatives are correct.
(1pt) The model y=
β0+β1x1+β2x12+ε
is called
a.
First-order model with one predictor variable
b.
Second-order model with two predictor variables
c.
Second-order model with one predictor variable
d.
None of these alternatives is...

A roller-coaster car is starting from rest from the top of the
slope of height H. As it reaches the bottom of the slope, it is
moving at 30 m/s along a straight horizontal track. Using the
principle of conservation of energy,
a. Calculate the height H.
b. Calculate the speed of the roller-coaster car after climbing
the 10 m hill shown in the figure. Ignore friction.
c. What is the change in kinetic energy as the car goes a....

1. The taxi company you work for is considering buying a $50,000
car which they expect to last two years. Operating &
Maintenance O&M costs are $12,000 per year. The car is expected
to generate $32,000 in revenues per year. The tax rate is 30%. The
company’s minimum acceptable rate of return (MARR) is 20%.
The taxi company uses a declining balance method for
depreciation. The book balance of the car value at the end of year
0 is the...

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