1. A car speeds up from 40 km/h to 55 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 the velocity 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 initial velocity 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.
...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 covers during...
...
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...
...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...
... Force vector. Equilibrium. Moments.
1. Determine the resultant force and state whether the object is at equilibrium.
sin52=0.788; cos52=0.616; sin25=0.423; cos25=0.906;
sin27=0.454; cos27=0.891; sin26=0.438; cos26=0.899;
2.
If the mass of the plane is 1700kg, and drag force is 50kN, determine what should be the aerodynamic lift force and engine’s thrust so that the plane flew with constantvelocity.
3. The spring was extended to 3cm under mass of 500g. Determine the spring constant.
4. The distance between two planets of masses 25x1025kg and 30x1025kg is 1012km. Calculate the attractive force between them.
5. The load with mass m=1.5kg is attached to the string of length l=1.5m and moves along a vertical circle with constant velocity v=1.5m/s. What are the maximum and minimum tensions in the string and in what positions? Determine the angular speed, period and frequency.
6. The object of mass m=100kg is pulled by force F=12kN. If it moves with constant velocity, determine the coefficient of friction between object and surface.
7. The length of the rod is 50m. If the force applied perpendicularly to one end is 5N, calculate the moment around the second end and around the midpoint of the rod.
8. If F1=5N, x1=2m, x2=3m,...
...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 initialvelocity 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 initialvelocity. 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 initialvelocity of v0=+5.00 m/s. The velocity of the coin is momentarily zero when the...
...What is Force?
In physics, a force is any influence that causes an object to undergo a certain change, either concerning its movement, direction, or geometrical construction. It is measured with the SI unit of newtons and represented by the symbol F. In other words, a force is that which can cause an object with mass to change its velocity(which includes to begin moving from a state of rest), i.e., to accelerate, or which can cause a flexible object to deform. Force can also be described by intuitive concepts such as a push or pull. A force has both magnitude and direction, making it a vector quantity.
The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time.[1] If the mass of the object is constant, this law implies that the acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional the mass of the object. As a formula, this is expressed as:
where the arrows imply a vector quantity possessing both magnitude and direction.
Related concepts to force include: thrust, which increases the velocity of an object; drag, which decreases the velocity of an object; and torque which produces changes in...
...Chapter 2
Forces
To study the effect of forces acting on particles.
2.1 Equilibrium of a Particle
2.2 Free Body Diagram
2.3 Force Vectors
2.4 Forces in a Plane
2.5 Forces in Space
Expected Outcomes
• Understand the condition for a particle to be in static
equilibrium
• Able to construct free body diagrams
• Able to solve for the forces acting on a static particle
2.1
Equilibrium
of a Particle
www.classical.com/features
2.1.1 Condition for the
Equilibrium of a Particle
• Particle is at equilibrium if it is
a) At rest
b) Moving at constant a constant velocity
2.1.1 Condition for the Equilibrium
of a Particle
(a) Equilibrium at rest
• Newton’s first law of motion
∑F = 0
where ∑F is the vector sum of all the forces acting on the
particle
Even Univ.
Graduates
(a) Equilibrium at rest
• Newton’s Law of
Motion
• 1st law – a particle
originally at rest, or
moving in a straight
line with constant
velocity, tends to
remain in its state
provided the particle
is not subjected to an
unbalanced force.
http://www.jameslogancourier.org/index.php?blogid=1&archive=2006321
2.1.1 Condition for the
Equilibrium of a Particle
(b) Equilibrium at motion
• Newton’s second law of motion
∑F = ma
• When the force fulfill Newton's first law of motion,
ma = 0
a=0
therefore,...
...com.au mail@keepitsimplescience.com.au
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