2. Treat the motion of a particle which moves along the s-axis as shown. s, ft or m -1 1. 2. The displacement of a particle is given by s = 4t3 -20z2 + 80t 30, Where s is in feet and t is in seconds. Plot the displacement vs. time graph for the first 15 seconds. Show the zero velocity/velocities. b. a. Plot the velocity vs. time graph for the first 15 seconds. Show the zero acceleration. Plot the acceleration vs. time graph for the first 15 seconds. d. Using the graphical solution, solve for the maximum positive displacement reached by the particle. e. Using the graphical solution, solve for net displacement reached by the particle. f. Using the graphical solution, solve for the total distance travelled by the particle. C.

2. Treat the motion of a particle which moves along the s-axis as shown. s, ft or m -1 1. 2. The displacement of a particle is given by s = 4t3 -20z2 + 80t 30, Where s is in feet and t is in seconds. Plot the displacement vs. time graph for the first 15 seconds. Show the zero velocity/velocities. b. a. Plot the velocity vs. time graph for the first 15 seconds. Show the zero acceleration. Plot the acceleration vs. time graph for the first 15 seconds. d. Using the graphical solution, solve for the maximum positive displacement reached by the particle. e. Using the graphical solution, solve for net displacement reached by the particle. f. Using the graphical solution, solve for the total distance travelled by the particle. C.

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)...

See similar textbooks

Related questions

Q: B. Graph it! Directions: Graph the motion of two people, one running and one walking, with constant…

A: Given Velocity of two people is constant One people is running and another is walking We have to…

Q: 5. The height of a football is modelled by the function h(t) = -5² + 15t + 1, where h(t) is the…

A: Given: Height, h(t)=-5t2+15t+1 (1)

Q: I. A car is driving at 23m/s when the driver decides to pass a truck. The car speeds up to 26m/s…

Q: Larry leaves home at 09:05 and runs at constant speed to the lamppost seen in figure. He reaches the…

A: Given: Time at which Larry leaves home = 9:05 Time at which the Larry reaches Lamppost = 9:10

Q: You are traveling on an interstate highway at the posted speed limit of 70 mph when you see that the…

A: In this question it is given that the initial velocity is 70mph Brakes are applied and velocity…

Q: 2. A car starts from rest and accelerates to 8 m.s in 5 seconds. It maintains its speed for 2…

Q: This is the velocity-versus-time graph for an object moving v, (m/s) along the x-axis. a. During…

A: The graph of the given question is shown:

Q: Answer the following questions. (True or False) a. Motion and acceleration are not the same…

A: Answer the following questions. (True or False)

Q: An object moves in one dimension, according to the position versus time graph. Express your answers…

Q: car is traveling at a constant velocity of 60 km/h for 4 hours. Choose the correct statement about…

Q: a. What is the displacement of the ball? b. Calculate the initial velocity. C. Calculate the maximum…

A: a. As the ball is received at the same position from where it has thrown so displacement is zero. b.…

Q: The following is a graph a particle's position vs. time. What is the particle's position at t =…

Q: A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm…

Q: Starting from a pillar, you run 400 m east (+x direction) at an average speed of 4 m/s, and then run…

Q: 2. The position function x(t) of a particle moving along an x axis is x = 6.00 - 6.00², with x in…

Q: A rock is dropped from the top of a building. Rock starts from rest and it takes 7seconds to reach…

Q: A. Construct a possible graph for x position versus time, x(t). B. Construct a possible graph for…

A: Part A)The graph between x-position versus time is given below:

Q: Given that a runner can run and maintain a constant speed of 5 m/sec, he will cover 5 meters every…

A: speed of runner v= 5 m/sec

Q: 1. Speed is directly proportional to the length of time travel. TRUE OR FALSE 2. In a simulation…

Q: 3. Irina dives from a 25-meter high platform into a water (see diagram ). 25 m a. Irina's…

A: Given Height of platform (H) = 25 m , initial velocity , vo= 0 (a) Irina's acceleration as she…

Q: 1. Consider the following v-t graph. a. At what time(s) is the object moving fastest? b. What is its…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. The position of a particle moving along the x-axis is given by x(t) = 3.0 – 1.5t m. a. At what…

A: The position of a particle moving along x axis is given by the equation : x(t) = 3 - 1.5 t m

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

100%

2. Treat the motion of a particle which moves along the s-axis as shown,
.ft or m
-1
3.
The displacement of a particle is given by s =
Where s is in feet and t is in seconds.
4t -20t + 80r - 30,
Plot the displacement vs. time graph for the first 15 seconds. Show the zero
velocity/velocities.
b. Plot the velocity vs. time graph for the first 15 seconds. Show the zero acceleration.
Plot the acceleration vs. time graph for the first 15 seconds,
d. Using the graphical solution, solve for the maximum positive displacement reached by the
particle.
e. Using the graphical solution, solve for net displacement reached by the particle.
f Using the graphical solution, solve for the total distance travelled by the particle.
a.

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 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, physics and related others by exploring similar questions and additional content below.

Similar questions

1. A ball is thrown upward from the top of a 50 meter high building with an initial speed of 25 m/s.a. How much time does it take to reach the ground?b. What velocity does it have when it reaches the ground?
2. The rocket starts from rest to and travels straight up. Its . C. height above the ground can be approsimated by the functions S = bt+ct*where "b" and "e are constants. At t-10 seconds, the rockets velocity and acceleration are v229 m/s and an28.2 m/s. a Determine the value of S at t-5 seconds b. Determine the value of its velocity at t-5 seconds Determine the value of its acceleration at t-5 seconds
Suppose an object moves along a line at 10 m/s for 0sts2 s and at 16 m/s for 2
1,2
1. It takes you 10 min to walk with an average velocity of 2 m/s to The North from The Grocery Shop to your house. What is your displacement?
Hand written solutions are strictly prohibited.
6. A car starts from rest and accelerates at a rate of 1.8 m/s² West for 15s. It goes at a constant velocity for 50s and then accelerates at a rate of 2.1m/s² East for 10 s. Use West as the positive direction. a. Draw an acceleration graph for this situation. Remember to quantitatively label your axes. a (m/812) t(s) 0-15 15-65 65-75 b. What is the change in velocity for each time interval? Av (m/s) t(s) Draw a velocity graph for this situation. Remember to quantitatively label your axes. v (m/s) E t(s) d. What is the total displacement between t-Os and t= 75 s?
5. Draw a distance vs. time graph for Melinda’s journey. Her home is located at 0 meters.Melinda is riding her bike over to her friend Sara’s house to complete an assignment. Her friend lives 5 km away. She accelerates away from her home for250 m in the next 2.5 minutes. She then rides at a constant speed of 300 m/min for 15 minutes. Melinda sees Sara’s house approaching so she slows downuntil she reaches her destination in the next 2.5 minutes. She stays at Sara’s house for 30 minutes while they work on the assignment. It is time to go home,Melinda rides home at a steady speed of 250 m/min for 10 minutes. Melinda is getting tired so she slows down for 250 m during the next 5 minutes thenstops for 2.5 minutes to have a drink. Realizing it’s getting late, she had to speed up 1 km in the next 5 minutes then rides at a constant speed of 300 m/minfor 2.5 minutes. Almost home, she decelerates for the next 10 minutes until she reaches her house.
*- cer pua page dn page up delete Name 8 6. Date Block Score Graphing Motion Lab Coar. The goal of this lab is to draw conclusions about motion graphs and practice graphing motion. mtroduction: Motion graphs are important to understand how objects are moving. In this lab activity, we will create motion graphs from motion diagrams and from description situations. O8 ) = 1 s こ=} as 9 =1 8. Feet 4. 12 FIGURE 1-9 Motion diagram of a skateboarder, showing position and time. Part 1: Motion Diagrams Basics Instead of graphing from a data table, we will be graphing from a motion diagram. The diagram below shows Harold running from 0m to 100m on the track. He is moving along the positions, shown on the number line and his time at each position is tracked above him. Using these values, first create a data table. Then graph the motion (using time on the x and position on the y). Lor on Ceu 0 10 20 30 40 50 60 70 80 90 100 0 10 S0
A ball is thrown straight up. What is the velocity and acceleration of the ball at the higest point (peak)? A. velocity = 0m/s and acceration = 9.8 m/s2 down. B. velocity = 0 m/s amd acceleration = 0 m/s2 C. velocity = 0 m/s and acceleration = 9.8 m/s2 up D. velocity = 9.8 m/s up and acceleration = 0 m/s2
If the velocity is constant towards the right direction, the graph of displacement x vs time t is a A. line with a positive slope. B. line with negative slope. C. parabola in the first quadrant. O D. parabola in the 4th quadrant. An object is moving towards the right direction. Velocity is constant. The graph of velocity vs time t is a line O A. along the t axis B. parallel to the t axis C. parallel to the v axis. O D. with nonzero slope. Velocity of a moving object is towards the right. Velocity is constant. The graph of acceleration a vs time t is a A. line parallel to the acceleration a axis. B. line along the acceleration a axis. C. line along the t-axis. OD.line with positive slope.
1. Refer to the velocity-time graph of a jogger. The positive direction is away from the jogger's home. Rank the four distances for the time intervals, A, B, C, D in decreasing order. Explain your answer. 15 10 C 40 50 30 20 Time (s) 0. 10 20 (s/w) pe 25