1. The motion of a particle is defined by the relation x = t* - 10t2 + 8t + 12, where x and t are expressed in inches and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t = 1s.

1. The motion of a particle is defined by the relation x = t* - 10t2 + 8t + 12, where x and t are expressed in inches and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t = 1s.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The position s of a particle along a straight line is given by s = sin(0. 4t) − 4t + 28t^2 , where s…

A: As we know that, The velocity is the rate of change of position with respect to time. velocity,…

Q: Q3) The acceleration of a particle traveling along a straight line is a = (8 - 2s) m/s?, where s is…

A: Given:-Equation for acceleration,a=(8-2s) m/s2To find:-Velocity of particle when s=2 mand position…

Q: Starting from x=0 with an initial velocity, a particle is given an acceleration a=0.1(v2 +16)1/2,…

Q: A particle is falling down into a medium with an initial velocity of 30 m/s. If the acceleration of…

Q: Q2/ Based on experimental observations, the acceleration of a particle is defined by the relation a…

Q: The positions of a particle along a straight line is given by s= 8e-0.4t - 6t + t2, where s is in…

A: Given:s=8e-0.4t-6t+t2a=3 m/s2Find: The velocity v.

Q: The motion of a particle is defined by the relation x = t³ – 3t? – 18t + 8, where x and t are…

A: We know that velocity is time derivative of displacement gives the velocity of a particle. In the…

Q: The velocity of a particle traveling along a straight line is v= (3+2 - 6t) ft/s, where t is in…

Q: Q1/ A loaded railroad car is rolling at a constant velocity when it couples with a spring and…

A: As per question, x=60e-4.8tsin16t....(1)So the position of the car (a) At time,…

Q: The acceleration of a particle as it moves along a straight line is given by a = (2t − 1) m/s2,…

Q: The motion of a particle is defined by the relation x = 1270 t4 - 1280t3 - 1290t2 + 1300t + 1310,…

A: Position of particle X=1270 t4 - 1280t3 - 1290t2 + 1300t + 1310, in meter Find, A) t at a=0 B) x…

Q: A particle travels along a straight line with a velocity of V = (8t – 3t2) m/s, where t is in…

A: Given, V=8t-3t2We know that,V=dsdtds=Vdt On integrating both sides,∫0sds=∫02Vdt∫0sds=∫02(8t-3t2)dt

Q: A particle travels along a straight line with a velocity of v = (4t - 3t^2) m/s, where t is in…

Q: 2/230 The positions of a particle along a straight line is given by s = 8e-0.4t 6t+t2, where s is in…

Q: 2 - (1 - 2), 11.8 The motion of a particle is defined by the relation x = where x and t are…

Q: A car is moving along a straight line with the acceleration a= (12t 3t) m/s', where t is in seconds.…

Q: Starting from x = 0 with no initial velocity, a particle is given an acceleration a = 0.12v+ 16,…

A: Given Acceleration, a = 0.12v2 + 16

Q: A particle is moving along a straight line with the acceleration a=(12t- 3(t^1/2)) ft/s^2, where t…

A: a=(12t- 3 t1/2 ) ft/s2

Q: A ball is thrown so that the motion is defined by the equations x=5 t and y = 2 + 6t- 4.9t2, where x…

A: Given Data: The horizontal displacement is given as x = 5 The vertical displacement is given as y =…

Q: Starting from x= 0 with no initial velocity, a particle is given an acceleration where a and v are…

Q: The motion of a particle is defined by the relation x = t? – (t - 3) 3 where x and t are expressed…

Q: Q/The motion of a particle is defined by the relation x=t3-9t2+24t-8 where x and t are expressed in…

Q: The motion of a particle is defined by the relation x = 2t3 – 15t2 + 24t + 12, where x is expressed…

A: Given data: The motion of particle, x = 2t3 – 15t2 + 24t + 12. (a) Write the expression to…

Q: Q!. The position of the car moves along a straight line is given by s = (12t + 3t2 – 2t³)m, where t…

A: Given Data S=12t+3t2-2t3 Ans(a) v=dsdt=12+6t-6t2 At t=1sec v=12+6(1)-6(1)2=12 m/s Instantaneous…

Q: The acceleration of a particle is defined by the relation a = –kv^2.5, where k is a constant. The…

A: Given : the relation between acceleration and velocity of a particle is defined as a = -kv2.5…

Q: The motion of a particle is defined by the relation x=1-10t² +8t+12, where x and I are expressed in…

A: Given that , x=t4-10t2+8t+12

Q: Q2/ Based on experimental observations, the acceleration of a particle is defined by the relation a…

Q: 1. A particle moving along the y-axis has its position given by y = 6t* – 21° – 121² + 3t + 2, where…

A: Given:y=6t4-2t3-12t2+3t+2

Q: a particle is defined by the relation x =F-9t+24t-8, where x an hes and seconds, respectively.…

Q: 2. A motion of a tennis ball is defined by the equations x = 3t +1 and y = 3+ 5t – 4.905ť², where x…

A: Given x = 3t + 1 y = 3 + 5t – 4.905t2 To find Velocity at t = 0.8 s Horizontal distance travelled by…

Q: time

A: Detailed solution given below

Q: The position of the particle is given by s = (2t2 − 8t + 6)m , where t is in seconds. Determine the…

Q: The acceleration ofa particle moving along a straight line is (a =-0.5 v) m/s, where v is in m/s. If…

Q: The motion of a particle is defined by the relation x = 6t2 - 8 + 40cosπt, where x and t are…

Q: The motion of a particle is defined by the relation x = t²(t-3) ³ where x and t are expressed in…

A: (a) To find: The time when the acceleration is zero. Given: The motion of particle is defined as…

Q: Q2) The position of a particle along a straight line is given by s = (1.5 - 13.5e + 22.51) ft, where…

A: Given data: s=1.5t3-13.5t2+22.5t ftt=6 sec Need to determine the position, velocity, acceleration…

Q: 1. the motion of a particle is defined by the relation x=3t^3 -6t^2 -12t +5, where x and t are…

A: Here, Position as a function of time = x = 3t3 - 6t2 - 12t + 5 We are supposed to find average…

Q: A car is moving along a straight line with a velocity v= 3t^2–t+ 5m/s, where t is in…

A: Given: The velocity is v= 3t2–t+5, where t is in seconds. Initially t = 0, v = 0, and s = 8 m. At…

Q: The position of a particle is defined by r = {20 cosžt i + 8 sin t j} m, where t is in seconds and…

Q: The acceleration of a particle traveling along a straight line is a = 1/4(s^1/2 )m/s^2, where s is…

A: The accleration can be written as follows: a=vdvds Substitute the given acceleration in the above…

Q: The position of a particle is defined by r = {4(t - sin t)i + (2t² - 3)j} m, where t is in seconds…

A: Given: r = {4(t - sin t)i + (2t² - 3)j}…

Q: A particle is moving along a straight line such that its acceleration is defined as a = -kv. If v=v,…

A: To find : The particle's velocity as a function of position and the distance . Given that : The…

Q: 1.The motion of a particle is defined by the relation x = t2 – (t-2)3, where x and t are expressed…

Q: Based on experimental observations, the acceleration of a particle is defined by the relation a =…

A: The acceleration of the particle is given by the equation:Where (a) in m/s2 and (x) is in…

Q: The acceleration of a particle traveling along a straight line is a = (0.02el) m/s2, where t is in…

Q: 1. A car is moving along a straight line with a velocity v = 312 - t + 5 m/s, where t is in seconds.…

Concept explainers

Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.

Question

help me on number 1

Easily add text in PDF
Add
11
Assessment Task 1
The motion of a particle is defined by the relation x = t* - 10t2 + 8t + 12,
where x and t are expressed in inches and seconds, respectively. Determine
the position, the velo
and the
leration of the particle when t = 1s.
2. The motion of a particle is defined by the relation x = 2t3 – 9t2 + 12t + 10,
where x and t are expressed in feet and seconds, respectively. Determine the
time, the position, and the acceleration of the particle when v = 0.
3. A loaded railroad car is rolling at a constant velocity when it couples with a
spring and dashpot bumper system. After the coupling, the motion of the car is
defined by the relation x = 60e-4.8t sin 16t, where x andt are expressed in
millimeters and seconds, respectively. Determine the position, the velocity, and
the acceleration of the railroad car when (a) t = 0, (b) t = 0.3 s.
Vo
The motion of a particle is defined by the relation x = 6t* – 2t – 12t2 + 3t +
3, where x andtare expressed in meters and seconds, respectively. Determine
the time, the position, and the velocity when a = 0.
12

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A particle moves along a straight line in such a manner that its displacement, at any instant, from a fixed point on its path is given by the question s = 1/10 + (?^3 + 6t^2 + −4 ?)What displacement, velocity and acceleration will the particle attain after 10 seconds?
Question: A particle P moves along the spiral path r=(10/θ)ft, where θ is in radians. Part A: If it maintains a constant speed of v=20ft/s, determine vr as functions of θ. Express your answer in terms of θ Part B: If it maintains a constant speed of v=20ft/s, determine vθ as functions of θ. Express your answer in terms of θ Part C: If it maintains a constant speed of v=20ft/s, evaluate vr at θ=1rad. Express your answer to three significant figures and include the appropriate units. Part D: If it maintains a constant speed of v=20ft/s, evaluate vθ at θ=1Zrad. Express your answer to three significant figures and include the appropriate units.
A particle moves with SHM between two points which are 8.8 cm apart. At the instant when the particle is 2.0 cm from one of the points, its acceleration is 45.1 cms−2. Calculate the absolute value of the velocity of the particle at the same instant. Give your answer in SI units.
A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time: x = 0.5t^3 + t^2 + 2t, where x and t are expressed in feet and seconds, respectively. x is measured along the surface of the hill. Determine the position, velocity, and acceleration of the boarder when t = 5 seconds. (x=___ft; v=___ft/s; a=___ft/s^2
The position of the particle is given by s = (8t^3- 60t^2+ 124t - 72) meters, where t is in seconds. hello very urgent thank u Determine: a. Plot the graph of the particle equation (eg. plot c = 0, 1, 2, ..5) and connect the dots) b. The starting position of the particle [include sign] c The first and second time when the velocity of the particle becomes zero
15. An automobile is traveling at 25 m/s. It takes 0.3 sec to apply the brake after which the deceleration is 6 m/s2. How far does the automobile travel before it stops? ANS: 60m 17. Water drips from a faucet at uniform rate of 3 drops per second. Find the distance between 2 successive drops if the upper drop has been in motion ¼ second. ANS: 1.36 m 20. A skier is filmed by a motion picture photographer who notices him traveling down a ski run. The skier travels 36 m during the fourth second of the filming and 48 m during the sixth second. What distance did he cover in the eight seconds of filming? Assume that the acceleration is uniform throughout. ANS: 312 m
Question 1 The velocity of a particle which moves along the s-axis is given by s˙ = 53 - 8t2 m/s where t is in seconds. Calculate the displacement Δs of the particle during the interval from t = 0.7 s to t = 3.3 s.
The motion of a particle is defined by the relation x=3t3-6t2-12t+5, where x and t are expressed in m and sec, respectively. Determine the average speed during the time interval 1 less or equal than t less or equal than 4
13.2 The position of a particle in millimeters is given by s = 57 - 22t + t2 where t is in seconds. Plot the s-t and v-t relationships for the first 19 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration?
11.2 The displacement of a particle is given by s = 2t3 - 43t2 + 118t - 64 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 19 seconds of motion. After you have made the plots, answer the questions.
Objects A and B undergo a one-dimensional elastic collision. The initial speed of A is vAi and the initial speed of B is zero. Equations (8.24) and (8.25) give the final velocity components of the objects after the collision. Let mA = amB, where a is a constant. (a) What is the value of a if the final kinetic energy of B equals the initial kinetic energy of A? (b) What is a if the final kinetic energies of A and B are equal?
A 45.0 kg girl is standing on a 155 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.39 m/s relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice? m/s(b) What is the velocity of the plank relative to the surface of ice? m/s