A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity asa function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition,velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component inthe direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really thecomponents of the velocity and acceleration vectors in the direction of motion, respectively.FigureU₁(m/s)2.01.51.00.51(s)010203040501 of 1(Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot toanswer the following questions.Part AWhat is the initial velocity of the particle, vo?Express your answer in meters per second.▸ View Available Hint(s)V₁ = 0.5 m/sSubmitPrevious Answers▾Part BCorrectWhat is the displacement Az of the particle?Express your answer in meters.▸ View Available Hint(s)Ax = 83Ο ΑΣΦ?m

Answered: Image /qna-images/answer/af14c6f9-6416-4943-93c0-c1092278ef45.jpg

Answered: A common graphical representation of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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In physics, one important application of the derivative involves the height of a free – falling object, which can be modeled using the position function. where h is the height of the object in feet, t is the time in seconds, vo is the initial velocity (in feet per second), and ho is the initial height.
Hoping for complete solutions since I’m having a hard time with this. Pls skip if unsure or not willing to answer the subitems (these are all connected for one item). Thanks in advanced! Hardy, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current time.However, his dolphins only understand the time if it is stated in terms of the resultant vector when the hourhand and minute hand vectors are added together. Assume that both vectors point from the center, outward.The length of the hour hand is ?. ?? [cm]; while the length of the minute hand is ?. ?? [cm]. Assume the hourhand only moves every hour.Follow this format in answering each sub-item:a. Draw the position of the hour and minute hands on an analog clock for this time configuration. Labelyour illustration with relevant angles and magnitudes b. Decompose the components of each vector along the ? and ? direction. c. Calculate for the resultant vector and express in the form required in each item.…
I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down where I catch it at the same height it was released from. The distance the ball has traveled is meters. The displacement of the ball is meters. (use the proper number of sig figs in your answer given the provided information).
The acceleration of a particle is given by a - 2t - 17, where a is in meters per second squared and tis in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t= 0 is so = -2 m, and the initial velocity is vo = 4 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.9 s, m i m/s m/s?
The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units of, for example, $/month). Accelerationwould give the rate at which v changes. Suppose a personbegins with ten thousand dollars in the bank. Initial moneymanagement leads to no net change in the account balance sothat v0 =0. Unfortunately, management worsens over time sothat a = -2.5 x 102 $/month2. Assuming a is constant, findthe amount of time in months until the bank account is empty.
The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.
The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²
An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time taken for acceleration is 2.2 seconds. Calculate the acceleration in m/s2 to 2 sf. In your answer, you do not enter the i unit vector, but you do need to enter negative signs, if appropriate. e.g. if your answer is a = -5.4 i m/s,2 you would enter -5.4
Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
I don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?
The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (15.8î + 18.4ĵ) m/s.At = 3.6 s the velocity is 10.5ĵ m/s. (Use the following as necessary: t. Do not include units in your answers.) (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.
I am having trouble solve a beggining question for my physics lab course. I have to dervive a formula for time given the equations in the photo attatched. In this experiment a cannon is being fired at a specified height and angle. To start, the cannon is set to a height of 10m and the angle of the launch being set at 0 degrees.

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