Two ships P and Q are moving along straight lines with constant velocities. Initially P is at a point O and the position vector of Q relative to O is (6i + 12j) km, where i and j are unit vectors directed due east and due north respectively. The ship P is moving with velocity 10j km h–1 and Q is moving with velocity (−8i + 6j) km h−1. At time t hours the position vectors of P and Q relative to O are p km and q km respectively. (a) (b) (c) Find p and q in terms of t. (3)

Calculate the distance of Q from P when t = 3.
(3)

Calculate the value of t when Q is due north of P.
(2) (Total 8 marks)

2.

A train starts from rest at a station A and moves along a straight horizontal track. For the first 10 s, the train moves with constant acceleration 1.2 m s–2. For the next 24 s it moves with constant acceleration 0.75 m s–2. It then moves with constant speed for T seconds. Finally it slows down with constant deceleration 3 m s–2 until it comes to rest at a station B. (a) (b) (c) Show that, 34 s after leaving A, the speed of the train is 30 m s–1. (3)

Sketch a speed-time graph to illustrate the motion of the train as it moves from A to B. (3)

Find the distance moved by the train during the first 34 s of its journey from A. (4)

The distance from A to B is 3 km. (d) Find the value of T.
(4) (Total 14 marks)

3.

Two cars A and B are moving in the same direction along a straight horizontal road. At time t = 0, they are side by side, passing a point O on the road. Car A travels at a constant speed of 30 m s–1. Car B passes O with a speed of 20 m s–1, and has constant acceleration of 4 m s–2. Find (a) (b) (c) the speed of B when it has travelled 78 m from O, (2)

the distance from O of A when B is 78 m from O,
(4)

the time when B overtakes A.
(5) (Total 11 marks)

4.

A post is driven into the ground by means of a blow from a pile-driver. The pile-driver falls from rest from a height of 1.6 m above the top of the post. (a) Show that...

...www.kmph.matrik.edu.my
CHAPTER 2: Kinematics of linear motion (5 hours)
1
2.0 Kinematics of Linear motion
is defined as the studies of motion of an objects without considering the effects that produce the motion. There are two types of motion: Linear or straight line motion (1-D) with constant (uniform) velocity with constant (uniform) acceleration, e.g. free fall motion Projectile motion (2-D) x-component (horizontal) y-component (vertical)
2
Learning Outcome:
2.1 Linear Motion (2 hour) www.kmph.matrik.edu.my
At the end of this chapter, students should be able to: Define and distinguish between i) distance and displacement, ii) speed and velocity, iii) instantaneous velocity, average velocity, uniform velocity iv) instantaneous acceleration, average acceleration and uniform acceleration. Sketch graphs of displacement-time, velocity-time and acceleration-time. Determine the distance travelled, displacement, velocity and uniform acceleration from appropriate graphs.
3
2.1. Linear motion (1-D)
2.1.1. Distance, d
scalar quantity. is defined as the length of actual path between two points. For example :
Q
P
The length of the path from P to Q is 25 cm.
4
2.1.2
Displacement, s
...

...Velocity and Acceleration (Video Analysis)
NAME
Abstract:
With using the new software this lab was different than the rest. We determined many solutions using video analysis. We used a frictionless track with a “car” and recorded using loggerpro software. We used this software to determine average velocity and instantaneous velocity. With this information we than discovered the average acceleration, mine was .2115. After that we were able to find δa, then finally the free-fall acceleration, I got 1.693. Overall this was a fun and difficult experiment, but I learned a ton about acceleration and velocity.
Introduction:
The average person might hear the word physics and have no idea what it really means. The formal definition is; a science that deals with matter and energy and their interactions. Now that definition is nice and short, and doesn’t explain into too much detail, but that is the gist of it. And hopefully can help you understand this lab a little bit more. The next question an average person is going to ask is when is this even used in real life? But there are many examples, for one; 2-d vectors and projectile are used when using a cannonball, or any other ball flying through the air, every motion on a flat surface. Another example is hitting a golf ball, which can be in kinematics or in dynamics. If only motion of a golf ball is discussed,...

...in Lesson 1 is acceleration. An often confused quantity, acceleration has a meaning much different than the meaning associated with it by sports announcers and other individuals. The definition of acceleration is:
Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.
Sports announcers will occasionally say that a person is accelerating if he/she is moving fast. Yet acceleration has nothing to do with going fast. A person can be moving very fast and still not be accelerating. Acceleration has to do with changing how fast an object is moving. If an object is not changing its velocity, then the object is not accelerating. The data at the right are representative of a northward-moving accelerating object. The velocity is changing over the course of time. In fact, the velocity is changing by a constant amount - 10 m/s - in each second of time. Anytime an object's velocity is changing, the object is said to be accelerating; it has an acceleration.
The Meaning of ConstantAcceleration
Sometimes an accelerating object will change its velocity by the same amount each second. As mentioned in the previous paragraph, the data table above...

...ACCELERATION:
Good afternoon everyone! Our group will discuss about acceleration. But before that, what is acceleration?
Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.
People will occasionally say that a person is accelerating if he/she is moving fast. Yet acceleration has nothing to do with going fast. A person can be moving very fast and still not be accelerating. Acceleration has to do with changing how fast an object is moving. If an object is not changing its velocity, then the object is not accelerating.
Sometimes an accelerating object will change its velocity by the same amount each second. As mentioned earlier. This is referred to as a constantacceleration. since the velocity is changing by a constant amount each second. An object with a constantacceleration should not be confused with an object with a constantvelocity. Don't be fooled! If an object is changing its velocity -whether by a constant amount or a varying amount - then it is an accelerating object. And an object with a constantvelocity is not accelerating.
Calculating the...

...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 constantvelocity 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 constantvelocity, 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, determine F2 and reaction at R....

...Acceleration Worksheet 3
Worked Example
A cheetah running at 20 m s−1 slows down as it approaches a stream. Within 3.0s, its speed has reduced to 2 m s−1. Calculate the average acceleration of the cheetah.
Solve the following:
1. A sports car, accelerating from rest, was timed over 400 m and was found to reach a speed of 120 km h−1 in 18.0 s.
a. What was the average speed of the car in m s−1?
b. Calculate the averageacceleration of the car in km h−1 s−1.
c. What was its average acceleration in m s−2?
d. If the driver of the car had a reaction time of 0.60s, how far would the car travel while the driver was reacting to apply the brakes at this speed of 120 km h−1?
2. A bus travelling north along a straight road at 60 km h−1 slows down uniformly and takes 5.0s to stop.
a. Calculate the magnitude of its acceleration in km h−1 s−1.
b. Calculate its acceleration in m s−2.
3. A Prius hybrid car starts from rest and accelerates uniformly for 8.0s. It reaches a final speed of 16 m s−1.
a. What is the acceleration of the Prius?
b. What is the average velocity of the Prius?
c. Calculate the distance travelled by the Prius.
4. A new model Subaru can start from rest and travel 400 m in 16 s.
a. What is its average acceleration during this time?
b. Calculate the...

...to changes in nominal GDP, it is common to assume that the velocity of money is constant.
The velocity of money is a measure of average number of times per year that a dollar is exchanged.
The quantity theory of money states that the money supply multiplied by the velocity of money is equal to the price level multiplied by output.
( )
Price level multiplied by output is the nominal output. Therefore, a percent change in the money supply added to a percent change in the velocity is equal to a percent change in nominal output.
( ).
In order to make calculations easier it is often assumed that the velocity of money is constant. If this is true, any changes in the money supply would directly and proportionately change nominal GDP. If the economy is at full employment it can further be assumed that real output is fixed. Therefore any change in the money supply will subsequently change the price level. Unfortunately real output is not fixed, and even at full employment, will fluctuate with the business cycles.
To test the constancy of velocity I compiled data on nominal GDP and the money supply for the last forty years. I had to decide whether to use M1 or M2 for the money supply. M1 is defined as currency in circulation plus demand deposits. M2 is M1 plus savings accounts, money market accounts, and smaller certificate of deposit accounts. I ended...

... It's a hot summer and in the depths of the Toronto Transit Authority's lost and found, 17-year-old Duncan is cataloging misplaced belongings. And between Jacob, the cranky old man who runs the place, and the endless dusty boxes overflowing with stuff no one will ever claim, Duncan has just about had enough. Then he finds a little leather book filled with the dark and dirty secrets of a twisted mind, a serial killer stalking his prey in the subway. And Duncan can't stop reading. What would you do with a book like that? How far would you go to catch a madman? This is the teaser to an amazing book I read “Acceleration” By: Graham McNamee.
Duncan the main leading character of the story discovers a journal belonging to what he thinks is a serial killer and he uses his knowledge of profiling as well as the clues from the journal to try to decipher who the serial killer is and who are his intended victims before the serial killer strikes. Duncan is a bad kid that’s been in trouble with the law who has been sent to work at the Toronto Transit Commission's lost and found in order to complete his two-months of community service. He and his friend Wayne were sentenced to community service after Wayne convinced Duncan to break into a new apartment building to steal an expensive toilet that they could sell to his uncle for some quick cash. The two teens end up getting caught when the toilet falls down the stairs and alerts the cop on duty that night.
At his new job,...

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