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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 70PQ: A dancer moves in one dimension back and forth across the stage. If the end of the stage nearest to...

See similar textbooks

Related questions

Q: 1. Treat the motion of a particle which moves along the s-axis as shown. +. -1 + s, ft or m 21 3.…

A: Given data : Velocity v = 20t² - 120t + 25 m/s To find : (a) plot v vs t (b) find t when…

Q: A stone is thrown vertically upward from the top of a building. If the equation of the motion of the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A ball was thrown vertically upward with an initial speed of 96 m/s. A. How high did it rise? B.…

Q: 1. An airplane flies 650 kilometres east in 1.2 hours. What is the airplane's velocity? 2. Yelena's…

Q: 2. An object moves in the +x-direction under a constant acceleration. a. If an object is initially…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 1. An object has an acceleration defined by the equation a=5t+4 (m/s²) where “t” is in seconds. The…

A: Given, a(t) = 5t + 4 At t = 0 a = 4 m/s^2 v(t) = 2.5 t^2 + 4 t + v(0) At t = 0 v(0) = -10 v(t)…

Q: 1. A vehicle drives at a constant speed of 215km/h for 42.3 seconds, accelerates by 29.4m/s2 for…

A: As you have posted multiple questions, we will solve the 1st question for you with all subpart. If…

Q: A frustrated office worker throws his laptop out of his business's high- rise office building. The…

Q: 5. A car with an initial velocity of 9 m/s, accelerates at a constant rate of 3.6_ m/s. a. How much…

Q: 5. The changing velocity of a car is represented in the velocity-versus-time graph shown to the…

A: Ans:- Image-1

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. Treat the motion of a particle which moves along the s-axis as shown. +s, ft or m -1 0 1 2 3 The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Instantaneous velocity is negative when the object moves toward the left direction. 2.…

A: 1) Instantaneous velocity is negative when the object moves toward the left direction ----true .…

Q: 1. Is it possible that the magnitude of the speed is also the magnitude of the velocity? Explain…

Q: B. PROBLEM SOLVING: Solve the following problems with complete solutions. (Given, formula,…

A: We know that the equation of motion v= u+ at s= ut+ (1/2)at^2 v^2=u^2+2as Where u= initial velocity…

Q: The position (in meters) of an object is given as a function of time by the equation:…

A: Given: The equation of the motion is xt=2t3-3t2+t-6. Introduction: The rate of change of position is…

Q: A particle moves along a horizontal line according to the equation s(t)= t³-6t²+5 where s is in…

Q: An elevator in a high-rise building goes up and down at the same speed. Starting at the ground…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet…

A: Given:- The initial velocity of the object is u = 96 ft/sec. The object launched from a height of h…

Q: Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 2 3 The…

A: Given data : s=4t³-20t²+80t-30 ; 0<t<=15To find : displacement vs time…

Q: A particle is moving with a motion defined by x = 6t + 2t m, what is the equation for the…

A: Acceleration is the rate of change of the velocity of an object with respect to time. Here, we…

Q: a. Draw the velocity graphs of Vy and Vx as a function of time. b.Draw x and y component of the…

Q: 2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average…

A: Solution:-

Q: 1. In this problem assume the positive direction is up and the negative direction is down and that…

A: Kinematic equation: The motion of an object with constant acceleration is described by a set of…

Q: A person runs 800 m at an average speed of 6 m/s and then the next 800 m at an average speed of 8…

Q: 2. It's Friday, and a physics student slowly walks towards the back of class at 1 m/s for 9 sto…

Q: 4. A jogger warms up by running 350 meters east at an average speed of 3.8 m/s, then running west…

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

(a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. (b) How long would it take to reach the ground if it is thrown straight down with the same speed?
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?
Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a rock break loose from a height of 105 m. He can't see the rock right away but then does, 1.50 s later. (a) How far above the hiker is the rock when he can see it? (b) How much time does he have to move before the rock hits his head?
A speedboat travels in a straight line and increases in speed uniformly from i = 20.0 m/s to f = 30.0 m/s in displacement x of 200 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, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of i, f, and x. (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.
There is a 250-m-high cliff at Half Dome in Yosemite National Park in California. Suppose a boulder breaks loose from the top of this cliff. (a) How fast will it be going when it strikes the ground? (b) Assuming a reaction time of 0.300 s, how long will a tourist at the bottom have to get out of the way after hearing the sound of the rock breaking loose (neglecting the height of the tourist, which would become negligible anyway if hit)? The speed of sound is 335 m/s on this day.
Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150m/s2 as it goes through. The station in 210.0 m long. (a) How fast is it going when the nose leaves the station? (b) How long is the nose of the train in the station? (c) If the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) When does the end of the train leave the station?
There is a 25O-m-high cliff at Half Dome in Yosemite National Pad in California. Suppose a boulder breaks loose from the top of this cliff. (a) How fast will It be going when It strikes the ground? (b) Assuming a reaction time of 0.300 s, how long a time will a tourist at the bottom have to get out of the way after hearing the sound of the rock breaking loose (neglecting the height of the tourist, which would become negligible anyway if hit)? The speed of sound is 335.0 m/s on this day.
A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes. (a) What is the final displacement of the cyclist? (b) What is his average velocity?
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station is 210 m long. (a) How long is the nose of the train in the station? (b) How fast is it going when the nose leaves the station? (c) If the train is 130 m long, when does the end of the train leave the station? (d) What is the velocity of the end of the train as it leaves?
The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s2, to take off and it accelerates from rest at an average rate of 0.350 m/s2, how far will it travel before becoming airborne? (b) How long does this take?