1. The position of a particle moving along the x-axis is given by x = A+Bt°. Consider the time interval t = 2s tot = 3s. (a) What SI units must A and B have? For the following, let their numerical values in SI units be 9.75 and 1.5, respectively. Then, calculate: (b) the average velocity (c) the average acceleration (d) the instantaneous velocity at t = 2.5s (e) the instantaneous acceleration at t 2.5s (f) the instantaneous velocity when the particle is midway between its positions at 2s and t 3s.

1. The position of a particle moving along the x-axis is given by x = A+Bt°. Consider the time interval t = 2s tot = 3s. (a) What SI units must A and B have? For the following, let their numerical values in SI units be 9.75 and 1.5, respectively. Then, calculate: (b) the average velocity (c) the average acceleration (d) the instantaneous velocity at t = 2.5s (e) the instantaneous acceleration at t 2.5s (f) the instantaneous velocity when the particle is midway between its positions at 2s and t 3s.

Name: 1. The position of a particle moving along the x-axis is given by x =
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: 1. The position of a particle moving along the x-axis is given by x = A + Bt³. Considerthe time interval t2s to t = 3s.(a) What SI units must A and B have? For the following, let their numerical valuesin SI units be 9.75 and 1.5, respectively. Then,

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: 5.. The timing of the fall of a steel ball photoelectrically can be used to determine the…

Q: A particle's position is given by: S(t) = 6t^(13/6) - 4t^(9/4) + 11 Where: tis in s and S is in m.…

A: Concept used: Velocity is rate of change of distance or position of particle.

Q: In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of…

A: Maximum height reached by flea( h) = 0.410m Free fall acceleration (g) = 9.80 m/s² Assume that…

Q: A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is…

A: Displacement function, r(t) = 6t4-2t3 -12t2+3t+3 Average velocity, v = ? Time at which…

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

Q: Part (a) What is the velocity at time 5.6 s? Part (b) What is the acceleration at time 16.8 s? Part…

A: a) Velocity at the time 5.6s=10 m/s b) Acceleration from Velocity- time graph time=16.8 s velocity…

Q: a berry rage. Given the v-t graph, find the instantaneous acceleration at time t = 1[s] and the…

Q: 2. An astronaut left the International Space Station to test a new space scooter. Her partner…

A: Simple problem of Kinematics. Please have a good look

Q: A particle moving in 1D has time-dependent velocity which is given by the quadratic function v(t) =…

A: a. the acceleration of the particle is

Q: An astronaut has left the International Space Station to test a new space scooter. Her partner…

Q: Q1- A particle starts to moves from origin at the curved Path y=(3 sin4 (x²y) + y³x) m With initial…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: SITUATION 15: A particle moves along a straight line such that its position is defined by sp=t-3t²…

Q: A particle moves only along the x axis. Its position varies with time according to the equation x =…

Q: a berry rage. Given the v-t graph, find the instantaneous acceleration at time t = 1[s] and the…

Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

Q: A squirrel has a- and y- coordinates (1.0 m, 3.5 m) at time t₁ = 0 and coordinates (4.9 m, -0.50 m)…

Q: A thief is trying to escape from a parking garage after completing a robbery, and the thief’s car is…

Q: An object moves in one dimensional motion with constant acceleration a = 7.4 m/s². At time t = 0 s,…

Q: A car with an unknown initial velocity accelerates over the course of 6.00 s to a velocity of 30.0…

Q: 1. A position - time graph for a particle moving along the x axis is shown in Figure P2.7. (a) Find…

A: Part a: The average velocity is the total displacement divided by total time.

Q: The velocity of an object as a function of time is given by v(t) = b + ct - et², where v and t are…

A: Data we have v(t)=b+ct-et2 To find instantaneous acceleration when t=0.63s

Q: If the car travels a total distance of 279 m (in the entire 10.00 s interval) what was the initial…

Q: A common graphical representation of motion along a straight line is the v vs. t graph, that is, the…

Q: A thief is trying to escape from a parking garage after completing a robbery, and the thief's car is…

A: Given Data : The speed of the thief's car is given as v = 12 ms. The distance of the thief's car…

Q: The velocity as a function of time of a moving particle is given by v = α+ βt2, where α and β are…

Q: A particle moves along the +ve direction of x-axis. Its position x depends on time t as…

A: Given:Position of particle (x)=at3+bt2+c+d

Q: object is dropped from a neight zero) and it hits the ground after a time t₁. A second object the…

Q: A particle moves along a horizontal coordinate line in such a way that its position time t is…

Q: 5. A 135g particle moves along the x axis according to the equation. =4.00-1.00 +3.00t2 -2.05t where…

Q: A particle moves along a straight line with a velocity v = 12 – 3t2 m/s, where t is in seconds. When…

A: We are given with velocity of the particle. We know velocity is nothing but time derivative of…

Q: The motion of x = 21 - 182 + 48t - 16, where x and t are expressed in millimeters and seconds,…

A: Introduction: The velocity of the object is defined as the rate change of the position with respect…

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

Q: The position of a particle moving along the x axis depends on the time according to the equation x =…

Q: Compute your Average velocity in the following two cases: (a) You walk 61.4 m at a speed of 2.47…

A: Part (a): Given,

Q: A particle moving along the z-axis has its position described by the function x = (3t³ +4t+2) m,…

A: Position Function:

Q: A particle moving along the x axis has acceleration in the x direction as function of the time given…

A: a(t) = 6t2-tAt t= 0 , v = 6 m/s Find v at t = 1sec

Q: A particle is moving in a straight line with its position given by x=(8.5m/s^2)t^2 + 6.0m.…

Q: A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 5t2…

A: The velocity function is defined as the first derivative of the position function with respect to…

Q: 1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared…

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

1. The position of a particle moving along the x-axis is given by x = A + Bt³. Consider
the time interval t
2s to t = 3s.
(a) What SI units must A and B have? For the following, let their numerical values
in SI units be 9.75 and 1.5, respectively. Then, calculate:
(b) the average velocity
(c) the average acceleration
(d) the instantaneous velocity at t = 2.5s
(e) the instantaneous acceleration at t
2.5s
(f) the instantaneous velocity when the particle is midway between its positions at
t = 2s and t = 3s.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

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

5. 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?
4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24
a particle moves in one dimension, and its position as a function of time is given by x = (1.9m/s)t + (-2.6 m/s^2)t^2 what is the particles average velocity from t = 0.45 s to t = 0.55 s? what is the particles average velocity from t = 0.49 s to t = 0.51 s?
Q2. a) For the displacement equation, s = t2 +t-5, find the velocity and acceleration equations and plot each equation for the first 5 seconds. b) Compute your average velocity in the following two cases: (a) You walk 73.2 m at a speed of 1.22 m/s and then run 73.2 m at a speed of 3.05 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.22 m/s and then run for 1.00 min at 3.05 m/s along a straight track. (c) Graph x versus I for both cases and indicate how the average velocity is found on the graph.
inm s 3. An object slides from rest down a regular, sloped surface. Its positions from the starting point, at intervals of 0.2 s, are given in the table below: Time (s) 0.0 0.2 0.4 0.6 0.8 Displacement (m) 0.0 0.03 o0.13 0.30 0.53 a) Calculate the acceleration. b) Determine the displacement of the object after a further 0.2 seconds.
Problem 2: Kinematics and vectors. An object is moving on the xy plane with velocities given by: V₂ x = (10.0-0.500t)1 and v = (-5.00t+0.025²) j Determine the following quantities: a. The displacement of the object as a function of time. b. The average velocity of the object from for the time interval from 0 to 10 s.
A particle moves in one dimension, and its position as a function of time is given by x (2.0 m/s)t + (-3.6 m/s²)e². (a) What is the particle's average velocity from t 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.) m/s (b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.) m/s MacBook Air 888 F1 F2 F3 F4 F5 F6 @ #3 $4 3 4 Q W E R T G
The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line.Constants b and c are positive. a(t) = bt + c, and initial velocity v(0)> 0 ; where 0 ≤ t ≤ x (a) Find the velocity at time t.v(t) = m/s(b) Find the distance traveled during the given time interval.distance (t) = m
Problem 5: A vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the vehicle is described by the following equation: x(t) = AP(1+B) %3D Part (a) Write an expression for the vehicle's instantaneous velocity as a function of time. Expression : v(t) = Select from the variables below to write your expression. Note that all variables may not be required. а, В, л, ө, А, В, d, g, h,j, k, m, Р, S, t Part (b) What is the initial velocity of the vehicle? Numeric : A numeric value is expected and not an expression. Vo = Part (c) What is the vehicle's velocity after accelerating for 10 seconds? The equation's parameters are as follows. A = 34 m/s B = 21 s Numeric : A numeric value is expected and not an expression. v(t) = Part (d) After accelerating, the velocity of the vehicle will begin to level off at highway speed. Write an expression for the vehicle's velocity after it has been accelerating for a long time. Expression : v(t=00) = Select from the variables…
The velocity of a particle moving along the x-axis varies in time according to the expression v(t) = α - βt2 where α = 52.9m/s , β = 3.72m/s3, and t is in seconds. a) Find the acceleration in the time interval from t = 0 to 2.97s in units of m/s2 b) Determine the acceleration of the particle tf = 2.97s in m/s2
A particle travels along a straight-line path y = 0.7x. If the x component of the particle's velocity is v, = (2.5t²) m/s, where t is in seconds, determine the magnitude of the particle's acceleration when t = 4 s. y
You have been daydreaming while studying, and watching student pilots take lessons at the Columbus airport. A plane flying at a constant 177.5 m/s suddenly stalls. If the acceleration during the stall is 9.8 m/s² directly downward, the stall lasts 15.8 s, and the plane was initially climbing at 35.5 degrees above the horizontal, what is the speed of the plane at the instant that the stall ends? Your Answer: units Answer