The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is theposition of the particle when it achieves its maximum speed in the positive x direction?

Answered: Image /qna-images/answer/a6ac80fe-25a7-499a-85f2-242a1aaa04c2.jpg

The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is th position of the particle when it achieves its maximum speed in the positive x direction?

The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is th position of the particle when it achieves its maximum speed in the positive x direction?

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: particle leaves the origin with an initial velocity v = (5.84i) m/s and a constant acceleration = (–…

A: If a quantity has maximum value ,it's first differentiation must be zero and second differentiation…

Q: The motion of a particle is given by the relation a = 6t, where tis in sec and a in m/s2. If s = 8m…

Q: A ball is launched vertically upward with a speed of (21.0+A) m/s. Determine the speed of the ball…

A: Given: The initial speed of the ball is Vi =(21.0 +A) m/s. The height is h = (18.0 +B). A =15 B = 8

Q: The displacement of a particle is given by s = 4t3-70t2 + 112t-34 where s is in feet and t is in…

A: Given: s=4t3-70t2+112t-34 ft

Q: The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t…

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume…

Q: The acceleration of a particle along an x axis is a = 6.2t, with t in seconds and a in meters per…

Q: The position of a particle is given by the expression x = 2.00 cos (2.00rt + x), where x is in…

A: Given that expression for the position of the particle Is x = 2.00 cos ( 2.00 π t + π) m Here x is…

Q: A badger looking for food travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W].…

A: Given data: Badger travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W]…

Q: A car moves north 35 sec, velocity 85 km/hr, then stops for 15 sec, then continues to move north,…

A: The answer is below

Q: The coordinate of an object is given as a function of time by x(1)=7t-312, where.x in meter and t in…

A: It is given that, x(t)=7t-3t2

Q: The displacement of a particle is given by s=4t³-67t2+103t-66 where s is in feet and t is in…

A: The displacement of the particle is given by, s=4t3-67t2+103t-66. TO DETERMINE: (a) The displacement…

Q: If v_0=2 km/s, and v2=4 X 106 m2/s2, what is a (acceleration in m/s2) at any time t?

Q: The position of a particle is r(t) = (9.021-4.0j + 8.0t³k) m (a) What is the velocity of the…

A: Velocity of a particle is the rate of change of position of the particle. By differentiating the…

Q: the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and…

Q: An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where…

Q: A particle's position along the x-axis is given by the equation; x(t) = 1t^4 − 2t^1 + 8 where ?x…

Q: A particle trajectory is described by x= ( 0.7t° -5.7 t ) m, and y=(1t-4.4 t) m. where t is in…

A: Particle's trajectory: x=0.7t3-5.7t2y=1t2-4.4t 1) At t=4.2 s Plugging value of t in given equations…

Q: Problem 1: An object is thrown straight up with an initial velocity of 17 m/s. Part (a) How high…

A: The given data are as follows: The object is thrown straight up. The initial velocity, u = 17 m/s

Q: A particle P starts at time t = 0 s at the position x = -13 m y = -10 m. The velocity of the…

Q: A particle moves along the x axis. Its position is given by the equation x = 2.5 + 2.6t - 3.5t-with…

A: Position of a particle is given by : x = 2.5 + 2.6t - 3.5t2Velocity of the particle is given by : v…

Q: Problem 6: A car goes 56 m to the right and then 26 m to the left. It makes this trip in 55 seconds.…

A: Consider the initial position of the car at point O (xi = 0) as shown in the figure below. The car…

Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: An object's position can be modeled with the following function: s(t) = 2cos(2πt) +t^2, where t is…

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

Q: A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11…

Q: The coordinates of a particle moving along a curve are x(t) = -2t2 +15 and y(t) = t2 -10t + 15, m…

Q: A ball is launched straight upwards starting at a height of 0.47 ×× 0.06 m. If the ball reaches a…

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume…

A: Given,x(t) = -200 ((t+1)-1)+6t2t = 3 s

Q: The position of a particle depends on the time according to the equation S = ct˄2 - bt˄3 where S is…

A: Given S = ct2 - bt3 Where S = position of a particle in m t = time in sec We have to find the unit…

Q: An object moves along the x-axis so its x-coordinate obeys the equation x=at² + bt+c, where a = 11,…

Q: From a building of height h = 22.5 m an object is thrown upward with speed v0 = 9.1 m / s. Evaluate…

Q: two people start from the same point. one walks east at 5mi/h and the other walks north east at…

Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

Q: The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in…

A: First we find expression for velocity and acceleration then after putting value of t as required…

Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: The figure here shows the speed v versus height y of a ball tossed directly upward, along a y axis.…

A: Given : d = 0.37 m vB = vA/3

Q: The acceleration of a particle moving along a straight line is a = (11 - 1.0s) m/s², where s is in…

Q: The graph is a particle's position along x axis versus time. What are the signs of the particle's…

A: The signs of the Particle's velocity at t=0, 1, 2 and 3 s.given,Position-time graph.

Q: The displacement of a particle is given by s= 2t3-42t² + 120t - 68 where s is in feet and t is in…

A: Given that: The displacement of the particle is s = 2t3-42t2+120t-68 The time is given as: t1=3.3…

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

The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is the
position of the particle when it achieves its maximum speed in the positive x direction?

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 & step-1 :-

VIEW

Step 2: Step-2 & step-3 :-

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 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

Problem 4: A particle moving along a straight path has an acceleration defined by a = 0.6s + 3.6 ft/s², where s is in feet. If the particle's speed is 1.2 ft/s at s = 0, find its speed when s = 8 feet.
An object's position in the as a function of time obeys the equation; x (t) = 3t – 2t³ + 1.5t where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.75 seconds?
The acceleration of an object (in m/s2) is given by the function a(t)=7sin(t)a(t)=7sin(t). The initial velocity of the object is v(0)=−1v(0)=-1 m/s. Round your answers to four decimal places. v(t) = -7cos(t) + 6 The objects displacement from time 0 to 3 is: 17.01216 meters Find the total distance traveled by the object from time 0 to time 3.
A n C D B 02 4 6 8 10 12 position x(m) Part (a) What is the distance traveled, in meters, for path D? X Attempts Remain Part (b) What is the magnitude of the displacement from start to finish, in meters, for path D? Part (c) What is the displacement from start to finish, in meters, for path D?
Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.
An equation describing displacement (in meters) as a function of time (in seconds) of a rocket propelled motorcycle moving up a hill is given by: x(t) = 13.5t – 0.5t³ + 7 Where 0
QUESTION 1 v (m/s) Relationship between velocity and time of a particle moving along a straight line is given by the (v – t) graph shown. Given 10 v = (t2 – 15t + 54) m/s s = 0 m when t = 0 s. Plot the (a – t) graph and determine t1. t1 а. b. the total distance covered for the duration 0sts 6 s. 2 6. t (s) SOALAN 1 -15 ------
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. What is the distance of the space shuttle to the base 1 minute after it has been launched ?
A particle moving along the x-axis has velocity function v(t) = t³ sin t. How far does the particle travel from time t = 0to t = π?
A rock is thrown, from the edge of a building of height h (with respect to the ground), vertically upwards with a speed V1a = 10.0 m/s. On its way down, the rock just slides off the edge of the building and continues to fall until it reaches a speed V1b = 20.0 m/s just before hitting the ground. (a) What is the height h of the building? (b) What is the maximum height that the rock reaches? (c) What is the rock's flight time from when it is thrown until it reaches the ground? (d) If at the instant the first rock is thrown,Another rock is thrown vertically up from the ground with a speed V2a = 20.0 m/s, how high would the rocks reach?
The position of a particle is defined byr = {20 cos t i+ 8 sint j}m, where t is in seconds and the arguments for the sine and cosine are given in radians. Determine the magnitudes of the velocity and acceleration of the particle when t = 3 s.
The acceleration of the linear trajectoryof problem P1-13 is shown in Fig. P1.14.Determine the equation of a(t) for(a) 0 ≤ t ≤ 1 s(b) 1 ≤ t ≤ 3 s(c) 3 ≤ t ≤ 4 s