1). A stone is dropped from rest from the top of a tall building, as Figure 2.17 indicates. After 3.00 s of freefall, what is the displacement y of the stone?  The stone, starting with zero velocity at the top of the building, is accelerated downward by gravity.

Reasoning The upward direction is chosen as the positive direction. The initial velocity v0 of the stone is zero, because the stone is dropped from rest. The acceleration due to gravity is negative, since it points downward in the negative direction.
Solution

2). After 3.00 s of freefall, what is the velocity v of the stone? Solution
1). A football game customarily begins with a coin toss to determine who kicks off. The referee tosses the coin up with an initial speed of 5.00 m/s. In the absence of air resistance, how high does the coin go above its point of release? Reasoning The coin is given an upward initial velocity. But the acceleration due to gravity points downward. Since the velocity and acceleration point in opposite directions, the coin slows down as it moves upward. Eventually, the velocity of the coin becomes v=0 m/s at the highest point.  At the start of a football game, a referee tosses a coin upward with an initial velocity of v0=+5.00 m/s. The velocity of the coin is momentarily zero when the coin reaches its maximum height. Solution
2). What is the total time the coin is in the air before returning to its release point? Reasoning During the time the coin travels upward, gravity causes its speed to decrease to zero. On the way down, however, gravity causes the coin to regain the lost speed. Thus, the time for the coin to go up is equal to the time for it to come down. In other words, the total travel time is twice the time for the upward motion. With these data, we can use Equation (v=v0+at) to find the upward travel time.
...1. Alice throws the ball to the +X direction with an initialvelocity 10m/s. Time elapsed during the motion is 5s, calculate the height that object is thrown and Vy component of the velocity after it hits the ground.
2. John kicks the ball and ball does projectile motion with an angle of 53º to horizontal. Its initialvelocity is 10 m/s, find the maximum height it can reach, horizontal displacement and total time required for this motion. (sin53º=0, 8 and cos53º=0, 6)
3. The boy drops the ball from a roof of the house which takes 3 seconds to hit the ground. Calculate the velocity before the ball crashes to the ground. (g=10m/s²)
4. John throws the ball straight upward and after 1 second it reaches its maximum height then it does free fall motion which takes 2 seconds. Calculate the maximum height and velocity of the ball before it crashes the ground. (g=10m/s²)
5. An object does free fall motion. It hits the ground after 4 seconds. Calculate the velocity of the object after 3 seconds and before it hits the ground. What can be the height it is thrown?
6. Calculate the velocity of the car which has initialvelocity 24m/s and acceleration 3m/s² after 15 second.
7. The car which is initially at rest has an acceleration 7m/s² and travels 20 seconds. Find the distance it...
...
Lab #3: InitialVelocity of a Projectile 


Abhishek Samdaria 
Pd.4 and 5 

Lab #3: InitialVelocity of a Projectile
Theory:
How can we determine the initialvelocity of a projectile?
Experimental Design:
The purpose behind this experiment was to determine the initialvelocity of a projectile. Projection motion consists of kinematics of motion in the x and y directions. With two dimension kinematics, there are the x and y components in any given velocity. In projectile motion, the x component has no acceleration as no outside forces are acting on it. The Y component on the other hand has gravity acting as a force.
A small ball is shot, at three various angles (30,45,60), and through the known values the initialvelocity of the ball is found. As a result, the range of the project can be represented with the equation
1) R = V02g*Sin2θ , where R represents the range or Dx; the values of g and θ are known.
However, in this experiment, one main equation were used to determine the initialvelocity.
1) yy0=tanθxgx22(V0cosθ)2 , where y is the trajectory of a particle in two dimensional motion, gravity is 9.81 m/s 2 , and θ is the launch angle. X is equal to the average distance launched in the x direction.
In order to determine all the components...
...What was the horizontal velocity of the car when it hit the ground?
3. A hawk in level flight above the ground drops the fish it caught. If the hawk’s horizontal speed is , how far ahead of the drop point will the fish land?
4. A pistol is fired horizontally toward a target away, but at the same height. The bullet’s velocity is . How long does it take the bullet to get to the target? How far below the target does the bullet hit?
5. A bird, traveling at , wants to hit a waiter below with his dropping (see image). In order to hit the waiter, the bird must release his dropping some distance before he is directly overhead. What is this distance?
6. Joe Nedney of the San Francisco 49ers kicked a field goal with an initialvelocity of at an angle of .
a. How long is the ball in the air? Hint: you may assume that the ball lands at same height as it starts at.
b. What are the range and maximum height of the ball?
7. A racquetball thrown from the ground at an angle of and with a speed of lands exactly later on the top of a nearby building. Calculate the horizontal distance it traveled and the height of the building.
8. Donovan McNabb throws a football. He throws it with an initialvelocity of at an angle of . How much time passes until the ball travels horizontally? What is the height of the ball after seconds? (Assume that, when thrown, the ball is above the ground.)
9. Pablo...
...km/h to overtake a truck. If this requires 15 s, what is the (a) acceleration and (b) distance traveled by the car?
2. Albert is riding his scooter at a velocity of 80 km/h when he sees an old woman crossing the road 45 m away. He immediately steps hard on the brakes to get the maximum acceleration of 7.5 m/square second. how far will he go before stopping? Will he hit the old woman?
3. the time a male bungee jumper if freely falling is 1.5 seconds
(a) What is thevelocity of the jumper at the end of 1.5 s?
(b) how high did he fall?
4. A juggler tosses three balls alternately vertically upward. each ball has an initialvelocity of 5 m/s. (a) how high does each ball rise ? (b) How long will it take each ball to be caught by the juggler at the same level at they were release? (c) What is the velocity of each ball after 1 s?
5. A long jumper leaves the Ground at an angle of 30 degrees to the horizontal and at a speed of 6 m/s (a) How high did he jump? (b) How long did it take before he landed on the ground? (c) how far did he jump?
SELF CHECK ACTIVITY ON LAWS OF MOTION
1. A 3/.5 kg papaya is pushed across a table. If the acceleration of the papaya is 2.2 m/square second to the left, what is the force exerted on the papaya?
2. A constant net force of 200 N is exerted to accelerate cart from rest to a velocity of 40 m/s in 10 s. What is the mass of the cart....
...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:...
...projectile’s motion compare with the motion of
vertical free fall when air resistance is negligible?
1. Less than that of free fall
2. Greater than that of free fall
3. Identical to that of free fall
1
the ground depends on v0 .
3. The ball is freely falling with acceleration
g, from the instant it is released until it strikes
the ground.
4. The time it takes for the ball to hit the
ground depends on v0 , g and h.
004 10.0 points
The velocity of a projectile at launch has a
horizontal component vh and a vertical component vv . When the projectile is at the highest point of its trajectory, identify the vertical
and the horizontal components of its velocity
and the vertical component of its acceleration.
Consider air resistance to be negligible.
4. It cannot be determined.
002 10.0 points
A heavy crate accidentally falls from a highﬂying airplane just as it ﬂies directly above a
shiny red Camaro parked in a parking lot.
Relative to the Camaro, where will the
crate crash?
Vertical
Velocity
Horizontal
Velocity
Vertical
Acceleration
1.
vv
vh
0
2.
vv
0
0
3.
0
vh
0
4.
0
0
g
5.
0
vh
g
1. The crate will hit the Camaro.
2. The crate will continue to ﬂy and will not
crash.
3. The crate will not hit the Camaro, but
will crash a distance beyond it determined by
the height and speed of the plane.
4. The crate will hit the...
...E102MOTION ALONG A STRAIGHT LINE
GUIDE QUESTIONS:
1. From the data obtained, what is the effect of the height of the track to the cart’s acceleration?
The data shows that sinӨ, which is dependent on the height, is getting higher as acceleration is increasing. This implicates that when object is at higher altitude, its acceleration is faster.
2. From the data obtained, how is time, t related to the inclination of the track? Explain why?
Time and position of velocity are interrelated to each other and the height and gravitational pull affects the acceleration of a moving and a free falling object.
3. From the data obtained, how would you account the difference between the picket fence’s acceleration and the value of g?
The value of the slope of a graph of average velocity versus time will be the acceleration due to gravity of the falling object.
E102MOTION ALONG A STRAIGHT LINE
PROBLEM:
1. A police car is searching for a fugitive that managed to escape a while ago. Knowing that he is now safe, the fugitive begins to take a rest until he notices a police car approaching him at 10 m/s, accelerating at 5 m/s2 and it is 100 m away. The fugitive grabs a motorcycle and stars it accelerating at the same rate as the police car. How much time will it take the police car to catch the fugitive?
x = xo + vot + 1at2
2
xpolice = 0m +10m/s (t) + 0.5(5m/s2)t2
xfugitive...
...the forces that cause the motion. There are four activities done in this experiment. Graphical analysis of human motion, where displacement vs time and velocity vs. time were graphed. Graphical analysis of motion where in the 10th seconds the total displacement is 18.75m, average velocity is 1.88m/s and instantaneous velocity is 3.76m/s. Reaction time where one of the normal reaction time among the group is 0.16s and the reaction time while someone is distracting the member is 0.30s, and lastly graph matching.
Introduction:
As a living organism, all of us have the potential to move, change in position, or go to different places. In short, life is in constant motion. From the prehistoric chase of antelopes across the savanna to the pursuit of satellites in space, mastery of motion has been critical to our survival and success as a species. The study of motion and of physical concepts such as force and mass is called Dynamics. Kinematics is one of the topics under dynamics. Kinematics describes motion without regard to its causes. In this experiment, kinematics focuses in one dimension: a motion along a straight line. This kind of motion, actually any kind of motion, involves velocity, displacement, and acceleration with regards to time. The objectives of the experiment are to draw the displacement versus time graphs and velocity versus time graphs for uniform motion and uniformly accelerated motion,...