Points From Previous Answers And Notes Question

113 Points Previous Answersserpse8 2p010my Notes Question Pa

1.1/3 points | Previous AnswersSerPSE8 2.P.010.My Notes | Question Part Points Submissions Used A car travels along a straight line at a constant speed of 41.5 mi/h for a distance d and then another distance d in the same direction at another constant speed. The average velocity for the entire trip is 25.0 mi/h. (a) What is the constant speed with which the car moved during the second distance d? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. mi/h (b) Suppose the second distance d were traveled in the opposite direction; you forgot something and had to return home at the same constant speed as found in part (a). What is the average velocity for this trip? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mi/h (c) What is the average speed for this new trip? mi/h 2.–/3 pointsSerPSE8 2.P.013.My Notes | Question Part Points Submissions Used A velocity—time graph for an object moving along the x axis is shown in the figure. Every division along the vertical axis corresponds to 2.00 m/s and each division along the horizontal axis corresponds to 2.50 s. (a) Plot a graph of the acceleration versus time. This answer has not been graded yet. (b) Determine the average acceleration of the object in the following time interval t = 12.5 s to t = 37.5 s. m/s2 (c) Determine the average acceleration of the object in the following time interval t = 0 to t = 50.0 s. m/s.–/3 pointsSerPSE8 2.P.016.WI.My Notes | A particle starts from rest and accelerates as shown in the figure below. (a) Determine the particle's speed at t = 10.0 s. m/s Determine the particle's speed at t = 20.0 s? m/s (b) Determine the distance traveled in the first 20.0 s. (Enter your answer to one decimal places.) m 4.–/3 pointsSerPSE8 2.P.017.MI.My Notes | A particle moves along the x axis according to the equation x = 1.99 + 2.99t − 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.50 s. m (b) Find its velocity at t = 2.50 s. m/s (c) Find its acceleration at t = 2.50 s. m/s.–/2 pointsSerPSE8 2.P.020.My Notes | Draw motion diagrams for the following items. (Do this on paper. Your instructor may ask you to turn in your work.) (a) an object moving to the right at constant speed (b) an object moving to the right and speeding up at a constant rate (c) an object moving to the right and slowing down at a constant rate (d) an object moving to the left and speeding up at a constant rate (e) an object moving to the left and slowing down at a constant rate This answer has not been graded yet. (f) How would your drawings change if the changes in speed were not uniform; that is, if the speed were not changing at a constant rate? This answer has not been graded yet. 6.–/5 pointsSerPSE8 2.P.021.My Notes | A parcel of air moving in a straight tube with a constant acceleration of - 4.10 m/s2 and has a velocity of 13.5 m/s at 10:05:00 a.m. (a) What is its velocity at 10:05:01 a.m.? m/s (b) What is its velocity at 10:05:04 a.m.? m/s (c) What is its velocity at 10:04:59 a.m.? m/s (d) Describe the shape of a graph of velocity versus time for this parcel of air. This answer has not been graded yet. (e) Argue for or against the following statement: "Knowing the single value of an object's constant acceleration is like knowing a whole list of values for its velocity." This answer has not been graded yet. 7.–/3 pointsSerPSE8 2.P.024.MI.My Notes | We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 95 m/s, and its acceleration can have a maximum magnitude of 5.52 m/s2 as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? s (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? Yes No (c) Explain your answer. This answer has not been graded yet. 8.3/5 points | Previous AnswersSerPSE8 2.P.027.My Notes | A speedboat travels in a straight line and increases in speed uniformly from vi = 12.5 m/s to vf = 41.5 m/s in a displacement Δx of 150 m. We wish to find the time interval required for the boat to move through this displacement. (a) Draw a coordinate system for this situation. (Do this on paper. Your instructor may ask you to turn in this work.) (b) What analysis model is most appropriate for describing this situation? particle under constant speed particle under constant acceleration particle in equilibrium (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? vf = vi + at Δx = vi + 1 2 at2 vf2 = vi2 + 2aΔx (d) Solve the equation selected in part (c) symbolically for the boat's acceleration in terms of vi, vf, and Δx. a = (e) Substitute numerical values to obtain the acceleration numerically. m/s2 (f) Find the time interval mentioned above. s 9.1/4 points | Previous AnswersSerPSE8 2.P.033.My Notes | An object moves with constant acceleration 4.10 m/s2 and over a time interval reaches a final velocity of 12.8 m/s. (a) If its initial velocity is 6.4 m/s, what is its displacement during the time interval? m (b) What is the distance it travels during this interval? m (c) If its initial velocity is -6.4 m/s, what is its displacement during the time interval? m (d) What is the total distance it travels during the interval in part (c)? Your response differs from the correct answer by more than 10%. Double check your calculations. m 10.–/4 pointsSerPSE8 2.P.038.My Notes | An attacker at the base of a castle wall 3.90 m high throws a rock straight up with speed 9.00 m/s from a height of 1.70 m above the ground. (a) Will the rock reach the top of the wall? Yes No (b) If so, what is its speed at the top? If not, what initial speed must it have to reach the top? m/s (c) Find the change in speed of a rock thrown straight down from the top of the wall at an initial speed of 9.00 m/s and moving between the same two points. m/s (d) Does the change in speed of the downward-moving rock agree with the magnitude of the speed change of the rock moving upward between the same elevations? Explain physically why it does or does not agree. This answer has not been graded yet. 11.0/1 points | Previous AnswersSerPSE8 2.P.041.WI.My Notes | A ball is thrown directly downward with an initial speed of 8.65 m/s from a height of 29.6 m. After what time interval does it strike the ground? You know the initial velocity, the distance and the acceleration. Which equation in Table 2.2 will allow you to find the time? You may need to use the quadratic equation. s 12.–/1 pointsSerPSE8 2.P.042.My Notes | The height of a helicopter above the ground is given by h = 2.80t3, where h is in meters and t is in seconds. At t = 1.70 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground? s 13.2/4 points | Previous AnswersSerPSE8 2.P.043.MI.My Notes | A student throws a set of keys vertically upward to her sorority sister, who is in a window 2.00 m above. The second student catches the keys 2.30 s later. (a) With what initial velocity were the keys thrown? magnitude Your response differs from the correct answer by more than 100%. m/s direction (b) What was the velocity of the keys just before they were caught? magnitude The correct answer is not zero. m/s direction 14.–/3 pointsSerPSE8 2.P.048.My Notes | Question Part Points Submissions Used A student drives a moped along a straight road as described by the velocity versus time graph in the figure. The divisions along the horizontal axis represent 1.0s and the divisions along the vertical axis represent 2.0 m/s. Sketch this graph in the middle of a sheet of graph paper. (Do this on paper. Your will need it to do part (a) and (b).) (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (Do this on paper. Your instructor may ask you to turn in your work.) (b) Sketch a graph of the acceleration versus time directly below the velocity- versus time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (Do this on paper. Your instructor may ask you to turn in your work.) (c) What is the acceleration at t = 6.0 s? m/s2 (d) Find the position (relative to the starting point) at t = 6.0 s. m (e) What is the moped's final position at t = 9.0 s? m 15.–/5 pointsSerPSE8 2.P.053.MI.My Notes | Question Part Points Submissions Used An inquisitive physics student and mountain climber climbs a 54.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 1.88 m/s. (a) How long after release of the first stone do the two stones hit the water? s (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude m/s direction (c) What is the speed of each stone at the instant the two stones hit the water? first stone m/s second stone m/s

Paper For Above instruction

This collection of physics problems encompasses a broad spectrum of classical mechanics topics, including kinematics, velocity and acceleration analysis, projectile motion, and the application of key equations to real-world scenarios. The common thread throughout these questions is understanding how objects move under various conditions and calculating quantities such as velocity, speed, displacement, and time. In analyzing these problems, it is essential to apply fundamental equations of motion, interpret graphs accurately, and understand the physical principles governing motion.

Introduction

In physics, understanding the motion of objects is foundational. Whether analyzing a car’s journey, the trajectory of a projectile, or the motion of a boat, core principles such as constant acceleration, velocity, and displacement equations provide the tools to solve complex problems. The problems provided include scenarios where a car moves at different speeds, particles accelerate, objects are thrown vertically, and objects move along specified paths. Analyzing these situations requires careful application of formulas, attention to units, and sometimes graphical interpretation.

Velocity and Acceleration in Linear Motion

A key concept in kinematics is the relationship between velocity, acceleration, and time. For an object moving with constant acceleration, equations such as v = v0 + at and x = v0t + (1/2)at^2 determine the velocity and displacement over time. For example, a particle starting from rest and accelerating at a certain rate allows calculation of its velocity at specific times and the total distance traveled. Understanding velocity-time graphs is crucial, as they visually represent the motion and enable calculation of average acceleration over intervals.

Application of Equations of Motion

Equations like vf^2 = vi^2 + 2aΔx and x = v0t + (1/2)at^2 facilitate solving for unknown quantities such as initial velocity, acceleration, or time. For instance, in the problem involving a ball thrown downward from a certain height, these equations help determine the time until impact with the ground. When dealing with projectile motion or vertical throws, the initial speed and height influence the calculation of impact time, maximum height, or speed at the top of the trajectory.

Graphical Interpretation and Motion Diagrams

Graphical analysis is an essential part of kinematics. Plotting velocity versus time graphs allows the calculation of average acceleration by analyzing the slope over given intervals. Similarly, motion diagrams illustrate object movement—whether uniform, accelerating, or decelerating—by showing the relative positions of objects at different times. Changes in the nature of the speed, such as uniform acceleration or variable acceleration, alter the shape and spacing of these diagrams, making them valuable visualization tools.

Projectile Motion and Vertical Motion

Vertical motion under gravity involves analyzing objects thrown upward or downward. Key factors include initial speed, height, gravitational acceleration, and the equations governing constant acceleration. Calculations include the maximum height reached, the time of flight, and the velocity at impact. For example, a rock thrown upward must have sufficient initial speed to reach a specified height and the velocity at the highest point is zero. Conversely, objects dropped or thrown downward accelerate under gravity, leading to specific impact speeds and times.

Real-world Scenarios and Practical Applications

These problems simulate real-world applications, such as jet landings, boat speeds, or climbing a cliff with stones. Analyzing these scenarios furthers understanding of motion in practical settings. For instance, the calculation of the minimum time for a jet to rest involves force, mass, and acceleration, connecting kinematics with dynamics. Similarly, motion diagrams of a moped or the assessment of speed changes illustrates how theoretical principles apply to everyday experiences and engineering problems.

Conclusion

The comprehensive examination of these problems highlights the importance of fundamental physics principles in analyzing various motion scenarios. Mastery of equations of motion, graph interpretation, and problem-solving strategies enables accurate understanding and calculation of quantities such as velocity, acceleration, displacement, and time. These skills are vital for progressing in physics and applying concepts to technological, engineering, and everyday contexts, demonstrating the integral role of classical mechanics in understanding the physical world.

References

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