The velocity function (in meters per second) is given for a particle moving along a line.v(t) = t - 4t – 12,1 sts 8%3D(a) Find the displacement.m(b) Find the distance traveled by the particle during the given time interval.m

Answered: Image /qna-images/answer/f13a1b75-f6c3-495e-90b2-41e7a49901ff.jpg

Answered: v(t) = t2 - 4t – 12, 1sts 8

Science

Physics

v(t) = t2 - 4t – 12, 1sts 8

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: Solve for the required using the given vectors A = 3i – 8j + 6k B = 4 j + 9k - 5i С. (А х В) х С C =…

Q: if we have two vector ( A ) and ( B ) A = 4i-3j+k , B=-i+j+4k 4- find the angle…

A: Given: A→=4i^-3j^+k^ B→=-i^+j^+4k^

Q: Vector A = 5.0i - 8.0k.

Q: What is the magnitude of vector a? 10 a 10

A: Solution

Q: Vector C has an x component -3.02 and y-component =5.23. What is the angle measured counter…

A: To find the angle in degress.We are given thatvector C has an x component -3.02 and y component…

Q: A car travels North with a speed of 60 kph and then turns to east at a speed of 35kph. What is the…

Q: F2–15. Express the force as a Cartesian vector. 45° F = 500 N'

A: Given - F = 500 N β= 45o…

Q: /8 nponent of the vector A - B. /8 itude of the vector A + B.

A: a vector can be written as A̅ =Ax î +Ay ĵ

Q: F2-17. Express the force as a Cartesian vector. F = 750 N 45% 60

Q: Question 2.6

A: X(t)= at2+bt3 Where, a=1.50 m/s2 and b= 0.05 m/s3 (a) At t=0s , X = X1 (Let) Put t= 0 ,we…

Q: P rove Ehab the volu me of the parallelepiped with a djacent Sides vectors 29 o 3b and are 4e be is…

A: Given data: Two vectors P and Q Required: The representation of vector (P - Q)

Q: 30 Which cube will move to the right? F Cube A G Cube B H Cube C J Cube D

A: In this question we have to answer which of the given cube move towards right.

Q: B 8 in.- A 5 in.- 8.5 in. A = 35 lbs

Q: Determine a‚î ×b,î = a,b, (î × î) a. ayby b. zero c. a,byk С. d. aybz

A: The general form of the cross product of unit vectors in 3-D is given as, Here, i, j and k are…

Q: Vector Á has a magnitude of 12.7 and its direction is 200° counter-clockwise from the +x-axis. What…

Q: s A the x-component of the vector A? rations: Multiplication of Physics uations: ax + b - c, Physica

Q: a : ax :-2; ay -5 6: bg = 4; by = –6 What is the direction (in degrees) of the resultant vector if…

Q: A car travels North with a speed of 30 kph and then turns to west at a speed of 15kph. What is the…

A: Given that:- Initial velocity of car=30kph along North

Q: Suppose that A = 2i + j. B=i- 4j + k, and = j+k. What is the magnitude of the vector

Q: 5. A vector of 9 ft and another of 5 ft can be added to give a resultant vector of a)0 ft b)2 ft c)3…

A: Given, Magnitude of vector A,A=9 ft Magnitude of vector B, B=5 ft

Q: In Problems 1-8, find (a) 3a, (b) a + b, (c) a − b, (d) ||a + b||, and (e) ||a - bl. 6. a = (1, 3),…

Q: length of the vector A2

Q: Q.1 Determine the resultant and its direction (angle ) for the force system 20ON 500N 30 45 300 N…

Q: ne x" component of vector A

Q: Vector A +y L. → +x Vector A is shown. Which of the following options best represents A. the A…

Q: O vector A is(2m) Long and is 60above the X axis Vector B is (2m) Long and is 60 belaw the Xaxis -…

Q: Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the…

Q: If a vector A has components Ax = -4 and Ay = -3, then A lies %3D in the O a. 4th quadrant O b. 1st…

A: solution as

Q: Q1) find the magnitude of the vectors 1- A=[1;3;5] 2- E=[3;4;6]

Q: Find the resultant vector of the following vectors using component method. A= 50N, 30° N of E B=…

Q: X - component Ax = Ay Bx = By Resultant of X -component = Magnitude of Resultant vector Angle = Re…

A: Given:- Find:-

Q: Given the following diagram, write the following vectors in terms of a, b and/or ở a) AC b) HA c) HB…

A: please note only three subpart is allow to answer in one question so please post again with…

Q: 3. Vector A has magnitude 13, and is at an angle of 112.6° from the +x axis. What is the x component…

A: Solution: Given that IAI = 13 angle θ= 112.6 degrees

Q: Vector A has a magnitude of 15.5 and its direction is 320° counter-clockwise from the +x-axis. What…

Q: The sum of three vectors A, B, and C is zero and vector B is twice the vector C. Find 2B - A.

Q: T F Theta = 28 degrees Phi = 48 degrees F = 7.855 kN T= 6.21 kN Find the Resultant Force in kN. If…

Q: A vector component is always larger than the magnitude of the vector. True False

A: Given that:- Basic concepts of vector.

Q: If a = 2i + 9j - k %3D and b 3i- 6j + 12k, what is the magnitude of vector a?

A: a = 2i+9j-k b = 3i-6j+12k we have to find magnitude of vector a

Q: Draw the vector: 50 N, 30o , North of East

Q: Express the force as a Cartesian vector. F- S00 N 60 Prob. F2-15

Q: If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h…

Q: 3 points If U(x,y)=In(x²-y) then Ux+Uyy= XX O (2x-xy)/ x^2+y^2

Q: Given vector G = -3a- 8a, + az, determine the ff: a. Drawing of the vector G b. Magnitude of vector…

Q: If a vector A has components Ax = -4 and Ay = -3, then A lies in the a. 4th quadrant b. 3rd quadrant…

A: As per guidelines I am solving only one question. Given: X component of vector = -4 Y component of…

Q: If a certain car, going with s

A: 4R1

Q: If the vector A=4î+ 2dĵ and B=5î -ĵ are perpendicular ( oleis). What is the value of the constant d?…

A: Given: A=4i+2dj B=5i-j Introduction: The two vectors can be said perpendicular when the dot product…

Q: OA = (2,3) A 0 Which of the following best approximates the vector shown above?

A: Given: The components of the vector OA→=2,3. Required: Magnitude and direction of the given vector.…

Q: -15N What is the rectangular component of vector F2 ? The magnitude of the vector is F2 = 1.5N. What…

A: Option (C) is correct.

Q: Find the r- and y-components of the vector (7.0 cm/s, -r-direction).

A: Given data: The given vector is, v→ = 7 cm/s, -x-direction Formula used: The x and y-component of…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

The velocity function (in meters per second) is given for a particle moving along a line.
v(t) = t - 4t – 12,
1 sts 8
%3D
(a) Find the displacement.
m
(b) Find the distance traveled by the particle during the given time interval.
m

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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

The velocity function, in feet per second, is given for a particle moving along a straight line, where t is the time in seconds. Find (a) the displacement and (b) the total distance that the particle travels over the given interval. v(t) = 5t − 7, 0 ≤ t ≤ 3
The velocity function (in meters per second) for a particle moving along a line is v(t) = 4t−3. Find the distance traveled by the particle during the time interval 0 ≤ t ≤ 6.
At t = 0 the coordinates of a particle are x = 0, y = 2.10 m. At a time 1.05 s later, its coordinates are x = 2.94 m, y = 3.80 m. Find the components of the particle's average velocity during this time interval. vx = ? vy = ?
A particle moves along the x-axis so that its velocity at any time t > 0 is given by v(t)=(2π−5)t−sin(πt). A. Find the acceleration at any time t. B. Find the minimum acceleration of the particle over the interval [0,3]. C. Find the maximum velocity of the particle over the interval [0,2].
The position coordinate of a particle which is confined to move along a straight line is given by "x = 2t3 −24t + 6", where x is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t = 0 s, (b) the acceleration of the particle when v = 30 m/s, and (c) the net displacement of the particle during the interval from t = 1 s to t = 4 s.
An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 3.30 cm. If its x-coordinate 3.15 s later is −5.00 cm, what is its acceleration?
Assume the velocity of a particle is given by v(t)=t^2 -3t-4, in cm/s i) Find the displacement in the first 5 seconds: cm. ii) Find the total distance traveled in the first 5 seconds: cm. iii) Find the general form of the position function: s(t)= the acceleration of the particle at t=5: cm/s^2
A particle having an initial velocity of 200 ft per sec decelerates according to the a-t curve in fig.p-1036. Compute the change in displacement in the time interval of 30 sec
The position of the particle is given by s = (9t^3 – 6t^2 – 32t + 16) meters, where t is inseconds. determine: d. The time when the acceleration of the particle is zero e. The time when its position becomes zero for the second time f. The total distance traveled by the particle from the starting position to its position in (e)
The motion of a particle along the x-axis is given by the equation x = 2t3 – 3t2. Find the velocity of the particle when t = 2.
A particle is moving from the origin with acceleration: a=(26-12t)ms^-2At t=4 seconds the particle has a velocity of 12?/?.Find an expression for the velocity at time t seconds and the velocitywhen acceleration is zero.
The velocity function, in feet per second, is given for a particle moving along a straight line, where t is the time in seconds. Find (a) the displacement and (b) the total distance that the particle travels over the given interval. v(t) = 1/√t, 1 ≤ t ≤ 4