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 equation: S = 1/10 (t3 + 6t2 – 4t) What displacement, velocity and acceleration will the particle attain after 10 sec.

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 equation: S = 1/10 (t3 + 6t2 – 4t) What displacement, velocity and acceleration will the particle attain after 10 sec.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter8: Time And Time-related Variables In Engineering

Section: Chapter Questions

Problem 28P

See similar textbooks

Related questions

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

Q: A motorist is travelling on a curved section of highway of a radius 150 m at a speed of 4okph. The…

Q: At the start of a trip of a car, its odometer reads 22687 km, at the end of the trip it reads 22791…

A: Initial reading on odometer=22687 km Final reading on odometer=22791 km Time taken=4 h=4×60×60=14400…

Q: A body weighing 2,225 N is being dragged along a rough horizontal plane by a force F = 445 N. The…

A: Given: The weight of the body is 2225 N. The force F is 445 N. The coefficient of friction is 1/12.…

Q: The velocity of a particle moving in thex-y plane is given by (3.31i+ 4.26j) m/s at time t = 3.67 s.…

A: please find attached solution below.

Q: An object moves along a path whose parametric equations are y = 2t and x = t° where x and y are…

Q: The velocity of a particle traveling along a straight line is v = (3t2 - 6t) ft/s, where t is in…

A: Given Data: Velocity of particle(v)=(3t2-6t) ft/sAt t=0, s=4 ftit is asked to calculate, what is…

Q: The v-t graph of a car while traveling along a road is shown. Determine the acceleration when t =…

A: We have to find the acceleration and distance at different time intervals

Q: The motion of a particle is defined by the relation x = t4 -10t2 + 8t +12, where x and t are…

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

A: Solution: Given: a = 6 cm/sec2 s = 72 cm t = 12 sec

Q: The x-coordinate of a particle in curvilinear motion is given by x = 5.3t³ - 2.2t where x is in feet…

Q: 2. What is the ratio of maximum velocity to the average velocity when the fluid passes through two…

A: The maximum velocity occurs at the centre. At the centre, the radius is equal to zero. The average…

Q: Activity 2. A particle moves along a straight line in such a manner that its displacement, at any…

A: Displacement path equation =S = 110t3 + 6t2 - 4tTime = 10sec

Q: The particle travels along the path defined by the parabola y=0.5x2. If the component of velocity…

Q: The acceleration of a particle is defined by the relation a = 3e-0.2t, where a and tare expressed in…

A: Given:- Acceleration of a particle is defined by relation a=3e-0.2t Also, At t = 0, x = 0, v = 0 To…

Q: As a train accelerates uniformly it passes successive 800 meter marks while traveling at velocities…

Q: The motion of a particle is defined by the relation x = t4 -10t2 + 8t +12, where x and t are…

Q: 3. As a car starts accelerating ( from rest ) along a straight road at a rate of 2.4 m/s², each of…

Q: Car A is accelerating in the direction of motion at the rate of 1.2m/s. Car B is rounding a curve of…

A: Step 1

Q: 16. Gear A shown here has a pitch diameter of 20 cm and the pitch diameter of gear B is 5 cm. The…

A: Given- Pitch diameter of gear A (dA)=20cmPitch diameter of gear B (dB)=5cmAngularacceleration of…

Q: The position of a particle moving along the x axis is given in centimeters by x = 9.77 + 1.23 t³,…

Q: The position of a particle moving along the x axis is given in centimeters by x = 9.39 + 1.86 t°,…

A: If the distance traveled by the particle along the x-direction is the function of time, x=f(t).…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 5.6t3 - 2.7t where x is in feet…

A: Approach- Solve the question in X axis and Y axis separately

Q: The curvilinear motion of a particle is defined by yVx= 50 - 16t and y = 100 - 4t2, where vy is in…

A: The given data is shown below: vx=50-16ty=100-4t2

Q: The motion of a particle is defined by the relation x t4-10t2 + 8t +12 , where x and t are expressed…

Q: The motion of a particle is defined by the relation x = t4 -10t2 + 8t +12 , where x and t are…

Q: Determine the velocity and acceleration of a body after 3 sec, if the motion is defined by the…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 5.3t³ - 2.2t where x is in feet…

Q: An engineer is traveling in a straight road using his newly acquired Toyota Fortuner and found…

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

Q: The linear regression equation of the time travelled (hours) and distance covered (km) is y = 61.93x…

A: The given regression equation is : y = 61.93x - 1.79 Travel time by the person, x = 10 hours

Q: The particle travels along the path defined by the parabola y = 0.5x2. If the component of velocity…

Q: Consider the velocity field, V = (x² + y² – 4)i + (xy – y)j, where x and y are in m and V is in m/s.…

Q: The motion of a particle is defined by the relation x = t4 -10t2 + 8t +12, where x and t are…

A: Given x = t4 - 10t2 + 8t + 12 x is in meter, t is in second Find time t when acceleration is zero

Q: A particle, starting from rest, moves in a straight line, whose acceleration is given by the…

Q: The position of a particle moving along the x axis is given in centimeters by x = 9.39 + 1.86 t°,…

A: Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the…

Q: Q: A particle is moving on a straight line with an initial speed of (64 m/sec) and deceleration of…

Q: An electric car is subjected to acceleration tests along a straight and level test track. The…

A: Given :

Q: A particle P is moving on the x-axis with constant deceleration 2.5 mk?. At timet = 0, the particle…

Q: A jetplane lands on the straight runway, originally travelling at 110 ft/s when s = 0. If it is…

A: given data : initial velocity = 110 ft/s s = 0 a/t graph is given

Q: A particle traveling along the parabolic path y = 0.25x?. If x = (2t) m, wheret is in seconds,…

Q: At a given instant the jet plane has speed of 400 fps and an acceleration of 70 fps? acting in the…

A: Given speed =400 fps acceleration = 70 fps2 θ =600 Rate of increase in plane speed =? The radius of…

Q: A particle travels along a straight line with an acceleration of a (10 - 0.2s) m/s", where s is…

A: Using the Newton's law of velocity to calculate the velocity of the particle when it traveled 10 m…

Q: 5. The position of a point during the interval of time from t= 0 to t = 6 sec is given by s=-0.5t +…

Q: A skateboarder rides down a parabolic half-pipe. The profile of the half- pipe is y = x2/80 m, where…

A: To find the magnitude of acceleration at point A

Q: The motion of a particle is defined by the relation x t4 -10t2 + 8t +12, where x and t are expressed…

Q: The acceleration of a particle is given by a = 2t - 18, where a is in meters per second squared and…

A: We knowd2ydx2=2t-18so,integrating v=dydx=t2-18t+c1s=y=t33-9t2+c1t+c2so,at t=0: v0=2c1=2at t=0:…

Q: A particle moves on a circular path of radius 2.5 m, compute the normal acceleration if the angular…

A: Given data A particle moves in a circular motion. Radius of circular path(R) = 2.5 m Angular speed…

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

Question

100%

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 equation:
S = 1/10 (t3 + 6t2 – 4t)
What displacement, velocity and acceleration will the particle attain after 10 sec.

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

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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A plane motion of a particle is described in polar coordinates as R = 0.75 + 0.5t2 (m) and θ=πt2/2 (rad), where t is measured in seconds. Find the magnitudes of the acceleration when t =2.83s.
The motion of a particle along a straight line is defined by s=⅓t³+6t² feet. Find the average acceleration during the fourth second and when the particle reverses its direction, what is its acceleration? In addition, what is the Velocity during the fourth second.
The acceleration of a particle moving along a straight line is a = √s, where s is in meters.If its position s = 0 and velocity v = 0 when it is at rest,a. determine the velocity when s= 19m.b. the time when s= 14m.
The particle travels along the path defined by the parabola y=0.5x2. If the component of velocity along the x-axis is vx=5t m/s, where “t” is in seconds, determine the particle’s distance from the origin and the magnitude of its acceleration when t=1s. When t=0, xo=0, yo=0.
2. A particle moves along a straight line with the equation x=16t+4t2-3t3 where x is the distance in ft and t is the time in second. Compute the acceleration of the particle after 2 seconds?
The motion of a particle is defined by the parametric equations ax =0.8t, ay =2–0.3t, az =5 where “a” is in m/s2 and t in seconds.The particle is at rest and is placed at the origin at t = 0. What is the acceleration of the particle after 10 seconds? What is the velocity of the particle after 10 seconds?
A body weighing 2,225 N is being dragged along a rough horizontal plane by a force F = 445 N. The coefficient of friction is 1/12 and the line of the pull makes an angle of 18 degrees above the horizontal. Which of the following most nearly gives the velocity of the body after travelling 5.50 m starting from rest?
A particle is constrained to travel along the path. If x = (4t^4) m, where t is in seconds, determine the magnitude of the particle’s velocity and acceleration when t = 0.5 s.
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 5 60e24.8t sin 16t,where x and t are expressed in millimeters and seconds, respectively. Determine the position, the velocity, and the acceleration of the railroad car when (a) t 5 0, (b) t 5 0.3 s
While travelling at a constant speed a driver saw a road block 112 m away. He applied the brakes and the car decelerated uniformly at 6.4 m/s^2. It stopped 5 m from the block. Find the initial constant speed of the vehicles in kph, if the drivers perception reaction is 2.2 second. a. 91.86 b. 26.31 c. 25.52 d. 94.72
The acceleration of a particle along a straight line is defined by a = (2t - 9) m/s2, where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity
Situation 2: The displacement (in meter) of a particle moving along x - axis is givenby x=At^2 + B , where A = 2m and B = 3m. Calculate average velocity between t =3sand t = 5s.Situation 2: Calculate instantaneous velocity at t = 5sSituation 2: Calculate instantaneous acceleration.