The equation of motion of a particle on a straight path is s=t³-3t , where s is displacement in meters and t is in seconds. Find the distance travelled in 3 seconds. The equation of motion of a particle on a straight path is S = t³ - 3t, where s is displacement in meters and t is inseconds. Find the distance travelled in 3 seconds.a) 2b) 6c) 12d) 16

Given;The equation of motion of a particle on a straight path is S=t3where 'S' is displacement.t = 3…

Answered: The equation of motion of a particle on…

The equation of motion of a particle on a straight path is S = t³ - 3t, where s is displacement in meters and t is in seconds. Find the distance travelled in 3 seconds. a) 2 b) 6 c) 12 d) 16

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: nent as functions of time. The initial displacement at t = 0 is so = -4 m, and the initial velocity…

Q: A velocity field is given as v = 2yi + 3xj where x and y are in metre. The acceleration of a fluid…

Q: The particles position along a rectilinear path with an acceleration given by the equation below…

Q: The velocity of a particle is v= {3i+(6 – 21)j} m/s, 0, determine the displacement of the particle…

Q: The velocity of a particle along the s-axis is given by v= 6s wheres is in millimeters and vis in…

A: Using formula

Q: SITUATION t is in seconds and x is in meters. Determine the time at which the acceleration is zero.…

A: GIVEN : X =( -2 + 3t ) e-0.5t TO FIND : time ( t ) where acceleration (a) = 0

Q: Situation 1: A particle, starting from rest, acceleration is given by where a = acceleration in m/s²…

Q: The x-coordinate of a particle in curvilinear motion is given by x-4.8t³-2.7t where x is in feet and…

Q: A velocity field is given as V = 2y + 3x where x and y are in metres. The acceleration of a fluid…

A: Given- Velocity field- V=2yi+3xj,(x, y)=(1, 1). It is needed to find the acceleration of the fluid…

Q: A particle moves along the space curve r = (e¯t cos t)i + (e-t sin t)j + (e-)k. Determine the…

Q: The velocity of the particle that travels along a straight line is v = (12 – 3t?)m/s, where t is in…

Q: A particle travels along a straight line with a constant acceleration. When s=9, v=8.95 and when s =…

Q: 3Q. As a fluid flows through the fixed curved conduit in the figure shown, the velocity of particles…

A: Given data, The expression for the tangential velocity of the particle is V=0.4s2e-0.04t m/s.…

Q: SITUATION 1. The angular motion of a disc is defined by the relation = 2t+t3, where is in radians…

Q: A velocity field is given as V = 2yî + 3xj where x and y are in metres. The acceleration of the a…

A: A velocity field is given-To Find-The value of the acceleration of the fluid particle at (x, y) =…

Q: 8. A particle is moving along a straight line such that its position is defined by s = (10r + 20)…

A: Note- Hi! Thank you for the question As per the honor code, We’ll answer the first question since…

Q: he position of a particle according to the appropriate coordinate set can be vectorially specified…

A: Given:- r = i(sin2πt)-16j(1-e-t4)+k(t24)t = 4sm=6kg To find:- a) x component of its R force b)…

Q: The velocity of a particle along the s-axis is given by v = 15s4/3 where s is in millimeters and v…

Q: Example A particle moves in the X-Y plane with a constant acceleration of 1.5 m/s² in the direction…

A: Given- constant acceleration a=1.5 m/s2angle=37oat t=0; velocity u=8.0 m/sVelocity and position of…

Q: SHOW THE GIVEN , REQD. AND COMPLETE SOLUTION The acceleration of a car is given by a = [ (3t^3 +…

A: Given data- a=3t3+4ti + 6tj + 8t-5k m/s2At t=0 sVx=2 m/sVy=3 m/sVz=5 m/sTo Find-The magnitude of the…

Q: The velocity of a body travelling along a straight line is defined by the relation v = 2e2) where v…

Q: A plane motion of a particle is described in polar coordinates as R = 0.75 + 0.5t² (m) and 0 = nt²…

A: step 1-

Q: The velocity of a particle along the s-axis is given by v = 5s3/2 where s is in millimeters and v is…

Q: 4. A particle travels along a straight line with a constant acceleration. When s = 4 ft, v = 3 ft/s…

A: A particle travel in straight line in constant acceleration, it has been asked in the question to…

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 vx=50-18t and y=100-4t2, where vx is in m/s, y is…

Q: The acceleratiọn of a particle traveling along a straight line is a = S7 m/s2, where s is in meters.…

Q: The acceleration of a particle along a straight line is defined by a = (2t – 9)m/s², where t is in…

A: a)

Q: A body of mass 3 kg is under a force, which causes a displacement in the body which is given by s =…

Q: The velocity of a particle along the s-axis is given by v = 16s8/7 where s is in millimeters and v…

Q: Determine the displacement after 13 seconds in feet.

A: The values and graph given in the question are as follows: Velocity(v)=30 m/sec, at t=0 sec

Q: 100 cm a₂

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

Q: A baseball is thrown by a picture at 88 mph (129 ft/s) through still air. The diameter of the…

A: Given information:

Q: The velocity of a particle which moves along the s-axis is given by s = 46 - 6t m/s where t is in…

A: Hello dear this is the solution of your problem The answer is found to be Displacement=33.792m

Q: The velocity of a particle which moves along the s-axis is given by s = 50-6t² m/s where t is in…

Q: The acceleration of a particle is given by a = 4t - 38, where a is in meters per second squared and…

A: Equation of the acceleration = a = 4t - 38 At t = 0, s0 = 8m and v0 = 2ms To find -…

Q: The coordinates of a particle undergoing plane motion are x = 15- 2t2 meters y = 15- 10t +t? meters…

Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

100%

The equation of motion of a particle on a straight path is s=t³-3t , where s is displacement in meters and t is in seconds. Find the distance travelled in 3 seconds.

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 data.

VIEW

Step 2: finding the distance traveled in 3 second.

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

6
A particle moves along a straight line such that its position is defined by s= (t 2 - 6t + 5) m. Determine the average velocity of the particle when t = 6 s
Determine the moment of Inertia of the quarter of the circle having a radius of 5m shown in the figure with respect to the given y- axis and x- axis
I need the answer as soon as possible
The particle travels along the path defined by the parabola y = 0.5x², where x and y are in ft. When t = 0, x = 0, y = 0. (Figure 1) Figure -y = 0.5x² 1 of 1 Part A If the component of velocity along the x axis is vx = (7t) ft/s, where t is in seconds, determine the particle's distance from the origin O when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) Submit Part B a = 0 Value μÁ Submit Determine the magnitude of the particle's acceleration when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) 8 Value Provide Feedback Units μÃ ? Units Review ? Next >
1. The vector position of a particle varies in time according to the expression ř=4i-8t j, where i is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t=1s.
Motion of a particle is defined by the relation x = t4 -10t2 + 8t +12, where x and t are expressed in meters and seconds, respectively. The acceleration is zero when t equal to_ a. 1.29 s b. 1.67 s c. 2 s d. 0
A particle has mass 4 kg. It moves so that the resultant force, F N, acting on it at time t seconds is given by: F = 12ti + (6 – 5t)j The unit vectors i and j are perpendicular. Find the distance of the particle from the origin when t= 20. ( meters)
In the figure, two blocks are attached to each other by a massless string that is wrapped around a frictionless pulley.
The velocity of a particle undergoing rectilinear motion is v(t) = 3t2 + 10t m/s. Find the acceleration and the displacement at t = 10 sec, if So = 0 at t = 0.
The motion of a particle is defined by the relation x = 2t4 – 6t3 + 3t + 3, where x and t - are expressed in meters and seconds, respectively. Determine the time, the = 0. position, and the velocity when a = 0.
The acceleration of a particle is given by a = 2t - 18, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = O is so = -3 m, and the initial velocity is vo = 2 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.9 s, S = i m V = i m/s a = i m/s?