The position of a particle is given by s=0.39-0.69t2-2.04t+4.42, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 6 seconds of motion. After you have the plots, answer th questions as a check on your work. -1 Questions: 0 When t-0.8 sec, v= i Whent 5.2 sec, v 2 --+8, ft ft/sec. a ft/sec. a The positive time at which the particle changes direction is i sec. ft/sec² ft/sec²

The position of a particle is given by s=0.39-0.69t2-2.04t+4.42, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 6 seconds of motion. After you have the plots, answer th questions as a check on your work. -1 Questions: 0 When t-0.8 sec, v= i Whent 5.2 sec, v 2 --+8, ft ft/sec. a ft/sec. a The positive time at which the particle changes direction is i sec. ft/sec² ft/sec²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: (3) Use the following graph to answer the questions on this page. The total time is 0.4 seconds.…

A: Solution:

Q: Part A The a - s graph for a rocket moving along a straight track has been experimentally…

A: Given Data : Initially the rocket starts at s=0 and v=0 Here, distance s is given in ft and velocity…

Q: The electronic throttle control of a model train is programmed so that the train speed varies with…

A: The Answer is below

Q: The following plot is x vs. t. Select all the regions in time that have positive velocity. 3.25+ 3+…

A: Finding Positive Slope as from option

Q: 3. For this series of 5 questions, a block is released from the position shown with a certain…

Q: Don't Use Chat GPT Will Upvote

A: Step 1:Step 2:Step 3: Step 4:

Q: A particle in an experimental apparatus has a velocity given by v = k√/s, where v is in millimeters…

Q: 4a Reading an x-vs-t graph The graph below shows a plot of the position of a particle as a function…

A: Given question is related to classical mechanics.

Q: A silver dollar is dropped from the top of a building that is 1377 feet tall. Use the position…

A: givenbuilding height h=1377ftposition funtion St=-16t2+Vot+So

Q: Tires are one of the most frequently encountered applications of the gas laws that we never think…

A: First of all we need to determine the initial pressure of the compressed gas in (kPa) by using the…

Q: R-1201 -3.4 N=-x (0.22 m) 10 N=x (22 kg)(0.02 kg) (0.091 m)2 Introduction to Engineering x has units…

A: For solution refer below images.

Q: Situation 3: The speed of the train during the first minute has been recorded as follows: t (s) v…

Q: 4) If the block has mass of 60 kg and its initial velocity is 1.1 m/s (at x = 3 m), determine the…

Q: A particle P is in rectilinear motion. The acceleration is of the form a = A cos(wt). The values of…

Q: Figure A NB 1 of 1 &

A: Introduction: The phrases velocity and speed describe how fast or slow an item moves. We regularly…

Q: 3. For this series of 5 questions, a block is released from the position shown with a certain…

A: Given data: y=0.25x2k=5 kN/m Need to determine the radius of curvature at x=0.0 m.

Q: 5) If the block has mass of 35 kg and its initial velocity is 2.7 m/s (at x = 3 m), determine the…

A: Given data: m=35 Kgx=3 mintial velocity v=2.7 m/sg=9.81 m/sk=5 KN/my=0.25x2

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

The position of a particle is given by s= 0.39³ -0.69t2-2.04t+4.42, where s is in feet and the time t is in seconds. Plot the
displacement, velocity, and acceleration as functions of time for the first 6 seconds of motion. After you have the plots, answer the
questions as a check on your work.
Questions:
0
Whent 0.8 sec, v=
When t 5.2 sec, v=
2
3
-+s, ft
ft/sec. a
ft/sec, a
The positive time at which the particle changes direction is i
sec.
ft/sec2
ft/sec²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Calculation of velocity, acceleration

VIEW

Step 3: Plot of displacement vs time

VIEW

Step 4: Plot of velocity vs time

VIEW

Step 5: Plot of acceleration vs time

VIEW

Solution

VIEW

Step by step

Solved in 6 steps with 19 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The model of a river is constructed to a scale of 1/60. If the water in the river flows at 38 ft/s, how fast must the water flow in the model (ft/s)?
1. The graph in Fig. A shows the velocity of an ambulance vehicle driver plotted as a function of time. How far does the officer go in the first 3 seconds? The first 7 seconds? The first 11 seconds? Vx (m/s) 50 45 40 35 30 25 Fig. A 20 15 10 5 t (s) 2 4 6 !8 10 12 14 7 11 3.
Data has been gathered from a lifting system used to remove spent RBMK fuel rods from the spent rod pool into long term safe storage. At present the spent rods are winched up from the pool and then lowered into concrete barrels in a second pool. When it is positioned properly the winch is released and the rod is allowed to drop in. The following calculation is based on data gathered from the present set up. Time taken to lowered into concrete barrels = 10 Seconds Winch drum diameter = 0.9m Mass of load = 185 kg Initial velocity = 0 m/s Distance travelled = 6m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used…
A particle begins moving from rest from the origin in one-dimensional motion. It has a constant acceleration of 9 m/s2 until it reaches a position of 20 m. What is the particle's speed at 20 m? Write your answer to three significant figures. The particle's speed at 20 m is Number m/s.
m Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units of Complete parts a through c. S a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t² - 36t+105; [0,8] a. When is the motion in the positive direction? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. For t-values that satisfy (Use a comma to separate answers as needed. Type your answers in interval notation.) B. The motion is never in the positive direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t² - 36t+105; [0,8]
Please help
A weight is attached to a spring and reaches its equilibrium position (x = 0). It is then set in motion resulting in a displacement of x = 6 cos t, where x is measured in centimeters and t is measured in seconds. See the figure shown to the right. Answer parts (a) and (b). (b) What is the spring's velocity when t = 0? cm/sec (Type an integer or decimal rounded to one decimal place as needed.) ī www winn - 6 0 6 Equilibrium position at x = 0
The velocity of a particle traveling in a straight line is given by v= (6t – 3t2) m/s, where t is in seconds. Suppose that s = 0 when t = 0. Part C How far has the particle traveled during the 3.7-s time interval? Express your answer to three significant figures and include the appropriate units. HÀ ST = Value Units Submit Request Answer Part D What is the average speed of the particle for the time period given in previous part? Express your answer to three significant figures and include the appropriate units. Value Units Vave = Submit Request Answer
7
Don't Use Chat GPT Will Upvote
1. For this series of 3 questions, a jet bike is moving along a straight road with the speed described by the v-s function v(s) = 2. s2/3, (v in [m/s] and sin [m]). Your final goal is to determine the velocity (v) at a specified time. But before that, you need to answer some other questions. 3) determine the velocity (v) when the time t = 7.1 s. Your answer must include 2 places after the decimal point, and the proper unit. Your Answer: Answer units
(1-C.s) m/s² where Cis a constant and sis Q13. The acceleration of a particle traveling along a straight line is a the position in m. If the constant Cis 0.1, the initial velocity vo is 0, and the initial position so = 1.7 m at time t = 0, determine the particle's velocity v when its position s = 4.8 m. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. Answer: =