A baseball pitcher throws a baseball with an initial speed of 91
feet per second at an angle of 5 degree to the horizontal. The ball
leaves the pitcher's hand at a height of 15 feet. Write the
parametric equations that describe the motion of the ball as a
function of time.
a) Write a set of parametric equations that model the
baseball.
b) What is the max height of the ball?
c) When does the ball hit the ground?...
A rubber bullet is shot with a speed of 130 meters per second
with an angle 67.4 degrees above the horizontal. The ground is 115
meters above from where the rubber bullet was shot.
1. How much time is the bullet in flight?
2. How much time will it take for the bullet to reach max
height?
3. How much is the max altitude the bullet can reach>
4. What time is the bullet 425 meters from the ground?
5....
A ten grams ball glides to the left at a speed of 0.4 meters per
second on a frictionless flat surface at the OC fair skating rink.
The ball collides head-on, elastically, with another larger ball
with mass 30 grams which was gliding to the right with a speed of
0.2 meters per second.
A. After the collision, what is the final velocity of each
ball.
B. What is the change in momentum for each ball? How do they
compare...
1- A baseball weighs 220 g. Top speed for a professional pitcher
is about 100 mph when he throws a fast ball. Find the de Broglie
wavelength (in nm) associated with a baseball that is moving with a
velocity of 80 mph.
2- The photoelectric effect for a certain alloy has a threshold
frequency of 9.20 x 1014 Hz. For light of this
frequency, find the energy of one mole of photons (in kJ).
3- Electrons are ejected from sodium...
What are the speed of recession, in kilometers per second, and
redshift of a galaxy that is a distance of 183 megaparsecs (Mpc)
away? Speed of recession? Redshift?
A rocket of rest length 90 meters is traveling at speed 4/5c
directly away from earth. The rocket encounters an asteroid of
length 80 meters also travelling directly away from the earth but
at speed 3/5c.
a)According to the captain of the rocket, what is the velocity
of the rocket relative to the asteroid?
b)At the front of the rocket, the captain of the rocket becomes
aware of the asteroid and activates a warning signal. It takes one
hour before...
When traveling 40 mph (miles per hour), the distance that it
takes Fred’s car to stop varies evenly between 120 and 155 feet.
(This includes the reaction distance and the braking distance.) All
of the questions are related to the stopping distance when Fred is
traveling 40 mph.
a) Let S be the distance it takes for Fred’s car to stop at when
traveling 40 mph. Find the distribution, parameter(s), and support
of S.
b) What is the probability that...
If a projectile is fired with an initial velocity
v0 meters per second at an angle
α above the horizontal and air resistance is assumed to be
negligible, then its position after t seconds is given by
the parametric equations
x=(v0 cos
α)t
&
y=(v0 sin α)
t-1/2gt2
Suppose α=30o and
v0=500
m/s
(a) At what time t does the projectile hit the
ground?
(b) How far does the projectile travel from the time it is fired
until the time...
In 1974, the United States instituted a national speed
limit of 55 miles per hour (mph), a move that generated a great
deal of controversy. Proponents of the lower speed limit managed to
avoid repeal of this national speed limit by effectively arguing
that driving at 55 mph significantly reduced the number of traffic
fatalities on U.S. highways. The argument was based on the fact
that the total number of traffic fatalities dropped from 55,511 in
1973 to only 46,402...
a 100 g ball moving to the right at 4 meters per
second collides head- on with a 200g ball that's moving to the left
at 3m/s. if the collision is perfectly elastic, what are the speeds
of each ball after the collision
if the collision is inelastic, what's the speed of the combined
balls after the collision?