Jerk (Retrieved from http://physics.info/kinematics-calculus/ ) • Jerk is the rate of change of acceleration with time. j = da dt • Jerk is the first derivative of acceleration‚ the second derivative of velocity‚ and the third derivative of displacement. j = da = d2v = d3r dt dt2 dt3 • The SI unit of jerk is the meter per second cubed. ⎡ ⎣ m/s3 = m/s2 ⎤ ⎦ s • An alternate unit is the g per second. ⎡ ⎣ g = 9.80665 m/s2 = 9.80665
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Sample Problems for Speed: 1. Calculate the speed of a dog running through a field if he is covering 23.7 meters in 54 seconds. 2. If a cross country runner covers a distance of 347 meters in 134 seconds‚ what is her speed? 3. What is the speed of a baseball that travels 49 meters in 2.4 seconds? 4. What is the speed of the horse that runs a distance of 250 meters in 3.5 seconds? 5. The girl runs 136 meters in 30 seconds. What is her total speed?
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Conceptual Physical Science‚ 5e (Hewitt/Suchocki/Hewitt) Chapter 1 Patterns of Motion and Equilibrium 1.1 Aristotle on Motion 1) Aristotle treated motion by A) comparing the distance traveled with the time of travel. B) measurements of distance travelled. C) classifying it into two classes. D) all of the above Answer: C Diff: 1 Topic: Aristotle on Motion 2) Aristotle believed that natural laws could be understood by A) experiment. B) logic. C) patterns. D) mathematics. Answer:
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DERIVATION OF FORMULAS constant acceleration In order to be accurate‚ the title of this section should be "One Dimensional Equations of Motion for Constant Acceleration". Given that such a title would be a stylistic nightmare‚ let me begin this section with the following qualification. The equations of motion are valid only when acceleration is constant and motion is constrained to a straight line. Given that we live in a three dimensional universe in which the only constant is change‚ you may
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Unit 01 Forces and the Laws of Motion Problem Set 01 Part One: Concepts 1. Define: Force‚ Net Force 2. What are the three ways a net force an affect the motion of an object? 3. What is the SI unit of force? What are the fundamental units of force? 4. Why is force a vector? 5. A chair is pushed forward with a force of 185N. The gravitational force of Earth on the chair is 155N downward‚ and the floor exerts a force of 155N upward on the chair. Draw a free-body diagram showing the forces
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Newton’s second law of physics dictates that acceleration is produced when a force acts on a mass. The greater the mass of the object‚ the greater the force needed to put the object in an accelerated motion. This relationship can be viewed in the formula: Force = mass (acceleration) The key to keeping the mousetrap car accelerating is to keep the forces acting upon it unbalanced. The force of the mousetrap car has to be larger than the force of friction working against the car. Because the force
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Uniformly Accelerated Motion Lab Report Introduction: The purpose of the Uniformly Accelerated Motion lab was to test Newton’s theory of gravitation‚ predicting that objects near the earth’s surface will experience constant acceleration. In this experiment‚ a glider was placed on an inclined air track and was then allowed to accelerate down the track under the force of gravity. With the aid of two photogates and an electronic timer‚ the times it took the glider to take the glider to pass through
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for the acceleration of a cart on a level track when it is attached by a string to a hanging mass at the end of the track. With the value of acceleration and the mass of the weight divided by the mass of the weight plus the mass of the cart‚ a value for free fall acceleration (g) could be determined. For the second part of the experiment‚ the objective was to derive a second equation for the value of constant air friction force using the known values of acceleration‚ free fall acceleration (g)‚ and
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Therefore‚ mass is given as m=F/a and has the units of force over acceleration. **A point mass specifies a body that has very small physical dimensions. That is‚ the mass can be considered to be concentrated at a single point. Gravitational Acceleration When making measurements of the earth’s gravity‚ we usually don’t measure the gravitational force‚ F. Rather‚ we measure the gravitational acceleration‚ g. The gravitational acceleration is the time rate of change of a body’s speed under the influence
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frequency of 27 rpm. Find the average speed of the stone if the rope is 12 meters long. Centripetal Acceleration (ac) – the rate of change of tangential velocity; standard unit is meters per square second (m/s2); ac = v2/r = vω Sample Problem: 5. A metal ball is attached to a 1-m long string and is whirled to make 3 revolutions per second with the other end as the center. How much acceleration will the metal ball experience? Centripetal Force (Fc) – the net force
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