after which there is no interference apart from gravity. The initial velocity If the projectile is launched with an initial velocity v0‚ then it can be written as \mathbf{v}_0 = v_{0x}\mathbf{i} + v_{0y}\mathbf{j}. The components v0x and v0y can be found if the angle‚ ϴ is known: v_{0x} = vgh_0\cos\theta‚ v_{0y} = v_0\sin\theta. If the projectile’s range‚ launch angle‚ and drop height are known‚ launch velocity can be found by V_0 = \sqrt{{R^2 g} \over {R \sin 2\theta + 2h \cos^2\theta}}
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Engineering. It will typically remain the same from semester to semester‚ except where variations are approved by the Faculty Board. Subject Aims The main objective of the subject is to help the students developing the ability to analyse any mechanics problem in a simple and logical manner and to apply a few‚ well understood‚ basic principles to its solution. At the end of this subject‚ students should have gained an understanding of kinematics and kinetics of rigid bodies‚ and free vibration of single
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into the subtopics of kinematics and dynamics. Kinematics is concerned with the aspects of motion that exclude the forces that cause motion. In a manner of speaking‚ kinematics is focussed on the development of definitions: position‚ displacement‚ velocity‚ acceleration and on the relationships that exist between them. Dynamics widens the study of motion to include the concepts of force and energy. Definitions Position Kinematics begins with the idea of position. Suppose that we photograph an object
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drop height of the golf ball is increased the velocity of the ball will increase‚ this is because it has more time to accelerate. We hope to find out from our results that the golf balls acceleration is the same as gravity which is 9.81 ms². We intent on showing this through the Suvat equation which is V²=U²+2as where ‘a’ is acceleration. Suvat equations were made by Gottfried Leibniz‚ Suvat stands for displacement (S)‚ Initial velocity (U)‚ Final velocity (V)‚ Acceleration (A) and Time (T). As I said
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found out that they have some similarities and differences that can be compared. In Chapter 14 which is Kinetics of a Particle : Work and Energy‚ the objectives that I learnt are I knew the concept of a conservation of energy to solve the kinetic problems. Besides‚ I would be able to develop and apply the principle of work and energy that
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Write ib unit. velocity’ bi I)t"* velocity-time graPh‚ when an obiect has (i) unifortdy accelerated (ii) uniformly retarded velocity. fror" that if u Uoayi" thrown ve*ically upwatd‚ the time of ascent is equal to the time ffi of descent. Th;;r*h .ttracts the moon. Does the moon also attract the earth ? If it does‚ why does ttre earth not move towards the moon ? 6) A bullet of mass 1‚0 g is fired with a velocity of 400 m/s from a gun of mass 4 kg’ What is ‚‚xldge recoil velocity of the gun
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Equations of Motion Worksheet 1. A car moving at a velocity of 25 m/s‚ accelerates at a rate of 6 m/s2. Find its velocity after 3s. 2. An object is dropped from rest. Calculate its velocity after 2.5s if it is dropped: a. On Earth‚ where the acceleration due to gravity is 9.8m/s2. b. On Mars‚ where the acceleration due to gravity is 3.8m/s2. 3. A motorbike is travelling with a velocity of 3m/s. It accelerates at a rate of 9.3m/s for 1.8s. Calculate the distance it travels in this time. 4. A Tesla
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meters 10 meters 2 meters 8. A bicyclist going south at 5 m/s passes a bicyclist going north at 5 m/s‚ they have the same? (2.09-2.11) 9. Define acceleration‚ speed‚ velocity‚ distance and displacement. (2.01‚ 2.16‚ 2.19) 10. The slope of a Velocity versus Time graph will tell you the object’s what (2.23) 11. On a velocity versus time graph the quantity the area between the graph line and the x-axis represents the change in ________________________ of the object. Refer to image below for
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MOTION: FERRIS WHEEL I. INTRODUCTION In this group project‚ we’ve decided to use a Ferris Wheel as an object to represent Uniform Circular Motion. A Ferris is a non-building structure consisting of a rotating upright wheel with passenger cars attached to the rim in such a way that as the wheel turns‚ the cars are kept upright‚ usually by gravity. Some of the largest and most modern Ferris wheels have cars mounted on the outside of the rim‚ and electric motors to
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a rotating turntable. The different vectors representing velocity for the travelling marble are shown below. Notice that the size of the vector remains the same but the direction is constantly changing. Because the direction is changing‚ there is a ∆v and ∆v = vf - vi ‚ and since velocity is changing‚ circular motion must also be accelerated motion. vi ∆v vf -vi vf2 If the ∆t in-between initial velocity and final velocity is small‚ the direction of ∆v is nearly radial (i.e. directed
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