1. Alice throws the ball to the +X direction with an initial velocity 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 initial velocity 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 initial velocity 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 this period.

8. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

9. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far will he fall?

10. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

11. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

...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...

...Physics 12 – Kinematics Worksheet
1. Which one of the following contains only vector quantities?
A. mass, time
B. force, velocity
C. time, momentum
D. acceleration, speed
2. An airplane heads due north with an airspeed of 75 m/s. The wind is blowing due west at 18 m/s. What is the airplane’s speed relative to the ground?
A. 57 m/s
B. 73 m/s
C. 77 m/s
D. 93 m/s
3. Two velocity vectors, v1 and v2 are shown.
Which of the following best represents the resultant of the addition of the two velocity vectors?
4. A car travelling north at 20 m/s is later travelling west at 30 m/s. What is the direction of the change in velocity?
5. Two forces act at a single point as shown.
What is the magnitude of the resulting force?
A. 15 N
B. 22 N
C. 27 N
D. 30 N
6. A boat shown below travels at 4.2 m/s relative to the water, in a river flowing at 2.8 m/s.
At what angle must the boat head to reach the destination directly across the river?
A. 34o
B. 42o
C. 48o
D. 56o
7. In landing, a jet plane decelerates uniformly and comes to a stop in 38 s, covering a distance of 1500 m along the runway. What was the jet’s landing speed when it first touched the runway?
A. 2.1 m/s
B. 39 m/s
C. 79 m/s
D. 170 m/s
8. A 35 kg object released from rest near the surface of a planet falls 7.3 m in 1.5 s. What is the
acceleration due to gravity on this planet?
A. 4.9 m/s2
B. 6.5 m/s2
C. 9.7 m/s2...

...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
vector quantity is defined as the distance between initial point and final point in a straight line. The S.I. unit of displacement is metre (m).
5
Example 2.1 : An object P...

...E102-MOTION 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.
E102-MOTION 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...

...Problems (Chapter 3)
Review Example problems #1 - 12 by yourself.
Problem 3 (page 96): A web page designer creates an animation in which a dot on a computer screen has a position of r = [4 cm + (2.5 cm/s2)t2]i + (5 cm/s)t j.
a) Find the magnitude and direction of the dot’s average velocity between t = 0 and t = 2 s.
b) Find the magnitude and direction of the instantaneous velocity at t = 0, t = 1 s, nd t = 2 s.
c) Sketch the dot’s trajectory from t = 0 to t = 2 s, and show the velocities calculated in part (b).
(a) Identify and Set Up: From [pic] we can calculate x and y for any t.
Then use Eq. (3.2), in component form.
Execute: [pic]
At [pic] [pic]
At [pic] [pic]
[pic]
[pic]
| |[pic] | |[pic] |
| | | |[pic] |
| | | |[pic] |
|Figure 3.3a | | |
Evaluate: Both x and y increase, so [pic] is in the 1st quadrant.
(b) Identify and Set Up: Calculate [pic] by taking the time derivative of [pic]
Execute: [pic]
[pic] [pic] [pic] [pic] and [pic]
[pic] [pic] [pic]...

...Exercises for Chapter 1 Kinematics
1. An impulsive retarding force of 3 seconds duration acts on a particle which is moving with a forward velocity of 60 m/s. The oscilloscope record of the deceleration is shown. Determine the approximate velocity of the particle at t = 9 s. [answer: -58 m/s] 2. A car can decelerate at 0.8 ‘g’ on a certain road. Find the total emergency stopping distance measured from the point where the driver first sights the danger for a speed of 100 km/hr. The time taken for the driver to identify the hazard, decide on a course of action, and apply the brakes is 0.75 s. [Answer: 70 m] 3. An underground train on the Mass Transit Railway moves away from a station with an initial acceleration of 0.9 m/s2. The acceleration decreases uniformly with time until after half a minute it is 0.3 m/s2. Calculate the speed reached and the distance travelled during this time. [Answer: 18 m/s, 315 m] 4. The magnitude of the acceleration and deceleration of an express lift is limited to 0.4 ‘g’, and the maximum vertical speed is 400 m/min. Calculate the minimum time required for the lift to go from rest at the 10th floor to a stop at the 30th floor, a distance of 100 m. [Answer: 16.7 s] 5. A cam rotates at 500 rev/min and imparts ‘parabolic’ motion (i.e. Constant acceleration and deceleration) to a reciprocating follower. The total lift of the follower is 20 mm and this takes place during 90 degrees of cam rotation.
If the...

...moves uniformly along the circle, then:(a) its velocity changes but speed remains the same (b) its speed changes but velocity remains the same (c) both speed and velocity changes (d) both speed and velocity remains same 4. Which of the following statements is correct? (a) speed distance are scalar, velocity and displacement are vector (b) speed distance are vector, velocity and displacement are vector (c) speed and velocity are scalar, distance and velocity are vector (d) speed and velocity are vector, distance and displacement are scalar 5. A car travels at a speed of 40km/hr for two hour and then at 60km/hr for three hours. What is the average speed of the car during the entire journey? 6. The velocity time graph of two bodies A and B traveling along the +x direction are given in the figure (a) Are the bodies moving with uniform acceleration? (b) Which body is moving with greater acceleration A or B? 7. Derive the second equation of motion, s = ut +
1 2 at numerically? 2
[1]
[1]
[2]
[2]
[2]
8.
Calculate the acceleration and distance of the body moving with 5m/s2 which comes to rest after traveling for 6sec?
[2]
Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks
9.
A body is dropped from a height of 320m. The acceleration due to...

...1.
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,...