CHECK ACTIVITY ON MOTION 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
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distance of 110 m. Determine the acceleration of the car. ------------------------------------------------- Solutions Given: d = 110 m | t = 5.21 s | vi = 0 m/s | | Find:a =?? | d = VI*t + 0.5*a*t2 110 m = (0 m/s)*(5.21 s) + 0.5*(a)*(5.21 s)2 110 m = (13.57 s2)*a a = (110 m)/ (13.57 s2) a = 8.10 m/ s2 ------------------------------------------------- Equations and Problem-Solving * Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated
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Velocity Instantaneous Velocity Average Acceleration Instantaneous Acceleration Equations of Linear Motions Motion Graphs Free Falling Objects under gravity Projectile Motion Uniform Circular Motion ASD 2011/12 KINEMATICS 1/23 PPH0095 MECHANICS Mind Map ASD 2011/12 KINEMATICS 2/23 PPH0095 MECHANICS OBJECTIVES Upon completion of this chapter‚ you should be able to: 1) 2) 3) 4) 5) define distance‚ displacement‚ velocity‚ acceleration. know how to apply all the equation
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Introduction to the Language of Kinematics Describing Motion with Words Scalars and Vectors Distance and Displacement Speed Velocity Acceleration Kinematics is the science of describing the motion of objects using words‚ diagrams‚ numbers‚ graphs‚ and equations. The goal of any study of kinematics is to develop sophisticated models which serve in describing (and ultimately‚ explaining) the motion of real-world objects. Much of our lives are spent in motion‚ travelling
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Remedial Physics------------------------------------Review Questions -------------------------------------Chapter 2 Quantitative Problems 1) An object moves 15.0 m north and then 11.0 m south. Find both the distance traveled and the magnitude of the displacement vector. A) 6.0 m‚ 26.0 m B) 26.0 m‚ 4.0 m C) 26.0 m‚ 26.0 m D) 4.0 m‚ 4.0 m 2) A boat can move at 30 km/h in still water. How long will it take to move 12 km upstream in a river flowing
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B) 1.3 s C) 5.3 s D) 7.3 s E) 9.3 s 0=16-9t2 t2=16/9 t=1.33 s 4. Over a short interval near time t = 0 the coordinate of an automobile in meters is given by x(t) = 27t – 4.0t3‚ where t is in seconds. At the end of 1.0 s the acceleration of the auto is: A) 27 m/s2 B) 4.0 m/s2 C) –4.0 m/s2 D) –12 m/s2 E) –24 m/s2 at= -24t 5. Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by | particle 1:
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the board. If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s‚ what is the bullet’s acceleration as it passes through the board? Answer: –550 km/s2 5. A particle confined to motion along the x axis moves with constant acceleration from x = 2.0 m to x = 8.0 m during a 2.5s time interval. The velocity of the particle at x = 8.0 m is 2.8 m/s. What is the acceleration during this time interval? Answer: 0.32 m/s2 6. A package is dropped from a helicopter moving upward
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vertical motions which are independent from each other‚ known as vector components. For an object to be considered a projectile‚ it must not be self-propelled. Projectiles move horizontally at a constant velocity. However‚ they undergo uniform acceleration in the vertical direction‚ which is caused by gravity. An important aspect of projectile motion is that the time it takes for the object to travel on the Y axis is exactly the same as the time it takes to travel on the X axis. A practical example
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m/s to a speed of 26.8 m/s? 2. A bowling ball with a negative initial velocity slows down as it rolls down the lane toward the pins. Is the bowling ball’s acceleration positive or negative as it rolls toward the pins? 3. Nathan accelerates his skateboard uniformly along a straight path from rest to 12.5 m/s in 2.5 s. a. What is Nathan’s acceleration? b. What is Nathan’s displacement during this time interval? c. What is Nathan’s average velocity during this time interval? 4. Critical Thinking Two cars
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Rectilinear Motion: Position‚ Velocity & Acceleration Determination of the Motion of a Particle Sample Problem 11.2 Sample Problem 11.3 Uniform Rectilinear-Motion Uniformly Accelerated RectilinearMotion Motion of Several Particles: Relative Motion Sample Problem 11.4 Motion of Several Particles: Dependent Motion Sample Problem 11.5 Graphical Solution of RectilinearMotion Problems Other Graphical Methods Curvilinear Motion: Position‚ Velocity & Acceleration Derivatives of Vector Functions Rectangular
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