A hard rubber ball is dropped from rest. It falls to the concrete floor and bounces back up ALMOST to its initial height. A motion detector is mounted on the ceiling directly above the ball, facing down. So, the positive direction -- the away-from-the-detector direction -- is downward. Draw the position, velocity, and acceleration graphs.

Since moving downward is a positive direction, is the velocity positive when the ball falls, 0 when it hits the ground, and then negative when it moves up? Is the accerlation positive (9.8) as the ball falls, very positive when it hits the ground, and then neg (almost -9.8) when it moves up? Keep in mind that the problem says: the ball bounces back up ALMOST to its initial height. Also, please help me with understanding how the position graph should look like. If there is any way that you could draw me the graphs, that would really be helpful. Thank you! You're halfway right.

Velocity will be positive as the ball falls, zero on impact, negative on the way up, and zero again at apogee.

Acceleration, however, is constantly 9.8 m/s²...the force of gravity does not change as the ball moves.

For your graphs, acceleration will be a horizontal line at y=9.8

Velocity will be a broken sinusiod (oscillating) that starts at the origin and rises to a maximum. On each impact with the ground, the graph will drop straight down to a minimum, then rise gradually through zero back up to its next maximum which will be less than the previous maximum. This will repeat until the ball is at rest.

Position will be a smooth sinusiod that begins at a maximum, falls to zero as the ball hits the ground, then rises up again to the next maximum which will be less than the previous one. This wave repeats until the ball comes to rest. This graph will never be negative, since the ball never falls below ground level. Almost everybody, at some point in their lives, has bounced a rubber ball against the wall or floor and observed its motion....

...gsu.edu, 2014). Velocity (V) is a vector and is a measurement of speed. Speed is the distance travelled over the time it took to reach its destination. Velocity is the displacement of an object over the time taken (Burrows, 2007). The coefficient of restitution is the measurement of elasticity between two objects (Racquetresearch.com, 2014). In this extended experimental investigation the coefficient of restitution will be measured between a ball and the ground.
Throughout this extended experimental investigation the theory of whether or not different changing different variables can change the rate in which a ball can fall at and the height in which it bounces at. The motion of a bouncingball can be analyzed into the motion of before, during and after impact of the ball contacting the surface. This investigation will analyse and break down the motions of a ball being bounced, into seven dynamic stages. The geometric center of the ball will be defined as C, the velocity of the ball will be represented as V and the acceleration of C will be shown as a. To create a fair test between trials it will be assumed that the surface on which the ball is being bounced is flat, smooth and hard along with the ignorance of air resistance.
As the ball begins at stage one it is acted upon the potential...

...height of a bouncingball. The factor that will be investigated in this experiment would be the initial height of the ball. The relationship will be determined by altering the initial height of the ball prior to the release in order for the ball to bounce.
The ball used in this experiment would be a tennis ball, and it will be dropped on the same surface each experiment. However, the initial height prior to the release of the ball will be altered in order to determine the true relationship between the initial height of the ball and the final height of the ball. The formula to calculate gravitational potential energy is “G.P.E. = mass * gravitational force * height”. Therefore, increasing the height would result in a greater gravitational potential energy. However, under standard circumstances, the gravitational potential energy of the ball is converted to kinetic energy, while a minute amount of energy is converted into heat. Hence, the ball never approaches the same height as the initial height of the ball. In addition, the height of the ball subsequent to its bounce is decreased at a constant ratio. This ratio is equivalent to the energy lost as heat.
Variables:
The independent variable: The initial height prior to releasing the ball
The dependent...

...Physics Internal Assessment
Research Question: Of plywood, glass, stainless steel, and a ceramic tile, which least affects the dynamics of a bouncing table tennis ball?
Background Information: Table tennis is a ball game that can be played on any reasonably sized, flat, elevated surface. As is the case in any ball game, a crucial criterion to base which material to be used as a playing surface is the bounce of theball. For any ball game to be fair to both sides, the playing surface must be such that the ball bounces back to a height that is as close as possible to the original height. Moreover, it is desired that the bounce be predictable. No ball game would be fun if the bounce is too uneven as this prevents the timing and strategic thinking of the player.
Theory and Explanation: The coefficient of restitution of an object is a fractional value representing the ratio of velocities before and after an impact. The coefficient of restitution can be calculated using the following equation:
Cr = hH
Where:
* ‘Cr‘ is the coefficient of restitution,
* ‘h’ is the rebound height of the ball,
* ‘H’ is the height that the ball was initially dropped from.
This shows that the coefficient of restitution of a collision is the ratio of the square root of the rebound height (h) by the drop height (H).
The...

...strike a ball so
that it leaves the club with a horizontal velocity of
20 m s–1. (Assume the acceleration due to gravity is
9.80 m s–2, and the effects of air resistance may be
ignored unless otherwise stated.)
a
b
c
d
e
How long after the ball leaves the club will it
land on the fairway?
What horizontal distance will the ball travel
before striking the fairway?
What is the acceleration of the ball 0.5 s after
being hit?
Calculate the speed of the ball 0.80 s after it
leaves the club.
With what speed will the ball strike the
ground?
A1.
a x = ut + 0.5at2
then 4.9 m = 0 + 0.5(9.8 m s–2)t2
and t = 1.0 s
b x = (average speed)(time) = (20 m s–1)(1.0 s) =
20 m
c The acceleration of the ball is constant at any
time during its flight, and is equal to the
acceleration due to gravity
= 9.8 m s–2 down
d After 0.80 s, the ball has two components of
velocity:
vx = 20 m s–1
and vy = 0 + (9.8 m s–2)(0.80 s) = 7.84 m s–1
The speed of the ball at 0.80 s is given by:
[(20 m s–1)2 + (7.84 m s–1)2]½ = 21.5 m s–1
e
The ball will strike the ground 1.0 s after it is
struck.
Then vx = 20 m s–1
and vy = 0 + (9.8 m s–2)(1.0 s) = 9.8 m s–1
The speed of the ball at 1.0 s is given by:
[(20 m s–1)2 + (9.8 m s–1)2] ½ = 22.3 m s–1
Q2.
A bowling ball of mass 7.5 kg travelling at 10 m s–1
rolls off a...

...Cuc Chim
Pd. 6
Pre-Calc
2. y = a(x – h)2 + k
a= -4.99 h=1.095 k=0.826 x=0.688 y=0
y= -4.99(x-1.095)2+0.826
3. If “a” value changes the graph gets wider. “a” would also change the direction the parabola faces. For example, if it were positive it would face up and if it were negative, it would face down. If “h” value changes, the graph can either move left or right. Meaning the graph shifts horizontally. If the value of “k” changes, the graph gets taller or smaller. Meaning “k” causes the graph to shift vertically.
4. y= -4.99(x-1.095)2+0.826
y=-4.99(x2 -2.19x+1.199)+0.826
y=-4.99x2 +10.9x-5.98+0.826
y=-4.99x2 +10.9x-5.154
5. y=-4.97x2 +10.91x-5.16
Compared to the standard quadratic form found in #4, the value of “a” is smaller than my equation. Its value for “b” and “c” is larger than my model equation.
6. y=-4.97x2+ 10.91x-5.16
y=-4.97(-4.97x2+10.91x-5.16-4.97)
y=-4.97(x2- 2.20+1.04)
y=-4.97(x2- 2.20x +1.04)
y=-4.97(x2- 2.20x+(-2.202)2-(2.202)2+1.04)
y=-4.97(x- 2.202)2-(2.202)2+1.04)
y=-4.97((x- 2.20)2-.17)
y=-4.97((x- 2.20)2+.84)
Compared to the original vertex model in #2, it’s “a” value is smaller by .02. It’s “h” value is about 1.105 more than #2 model. The “k” value is .014 more than #2 model....

...Laboratory – Terminal Velocity
Introduction:
Consider dropping a piece paper and a brick from the same height. Although in theory they should both strike the ground at the same time; in practice the brick will always strike the ground first. The reason is because of air resistance. As the paper falls to the ground air resistance is pushing the paper up, this slows the acceleration of the paper.
It is known that as the velocity of an object increases the air resistance acting on the object increases. If we consider jumping out of a plane and free fall towards the Earth the F.B.D. would be as follows:
Now the force of gravity acting on the object does not change, however as we speed up towards the Earth the force of air resistance is increasing. Eventually there reaches a point when the Fg = Fair when this occurs we are no longer accelerating towards the Earth, but fall with a constant velocity that is called the TERMINAL VELOCITY.
The terminal velocity of an object in free fall depends on two main factors:
1. The mass of the object
2. The surface area exposed to the air resistance
For example: A human free falling towards Earth has a terminal velocity of 190 km/h. If you use a parachute the terminal velocity is about 20 km/h.
If we were to observe this motion on a speed time graph it would be as follows:...

...acceleration and once the air resistance is stronger then the terminal velocity that is when the object is going at a small velocity.
Terminal Velocity
When there is equal force acting on an object when falling such as gravity and air resistance at that stage it is called constant speed or terminal velocity. When the object is dropped the force of gravity initially is 100% but as it falls the air resistance becomes stronger making the gravity weaker and at one stage there will be terminal velocity. In some cases due to the mass and weight of an object and the height they fall the terminal velocity may be quicker or slower.
The Ant and The Man
When the man falls from the 10 story high building and splats to the ground this is because of his fall. When he falls due to the weight of him he falls quicker and gravity has a stronger force on him and air resistance doesn’t and in reality he may not even reach the terminal velocity or he may reach it near to the ground and hence he is accelerating at a high rate off the building making him splat on the floor.
However when the ant falls from the table which in comparison to the ants height an 100 story building when the ant falls he survives on the floor. This is also linked with the timing of the terminal velocity. As the ant falls gravity is 100% at the start but as it is small in size air...

...Ali Bush
Mr. Harrison
English 9 Pre-AP
17 March 2012
As stated by George Washington Carver, “How far you go in life depends on your being tender with the young, compassionate with the aged, sympathetic with the striving, and tolerant of the weak and the strong -- because someday you will have been all of these.” In Harper Lee’s To Kill a Mockingbird, Atticus Finch is the father of Jem and Scout Finch, while fighting justice as a lawyer in Maycomb County. Atticus Finch is an affectionate, benevolent, sympathetic, and tolerate man with anyone he comes in contact with. He is respectful to everyone and believes strongly in equality among everyone in Maycomb, regardless of their age, gender, race, or rank. As the novel progresses, the reader gains a love for Atticus as he presents himself as a wise, calm, moral, and expressive person.
Throughout the novel, Atticus reveals his wisdom to the readers. During the court case, he never lets his guard down and is ready to take whatever bullet is shot toward Tom Robinson. His wisdom never subsides as he tries to persuade the brainwashed jury of Maycomb that an innocent Negro is meant to be free, not treated as an animal in his own city all from accusations. In his conclusion, Atticus states, “The state has not produced one iota of medical evidence to the effect that the crime Tom Robinson is charged with ever took place. It has relied instead upon the testimony of two witnesses whose evidence has not only been called into...

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