kinematics of particles rectilinear motion (please show the complete solution with the derivatives) Consider a particle moving rectilinearly according to x = t3 - 3t2 -45t m, where t is in sec. Draw the x-t, v-t and a-t curves for the interval 0

Answered: Image /qna-images/answer/131abea2-fa4c-4651-9c17-6796dc82ecee.jpg

Consider a particle moving rectilinearly according to x = t3 – 312 -45t m, where t is in sec. Draw the x-t, v-t and a-t curves for the interval 0sts8 sec. Determine the distance travelled during the first 8 seconds.

Consider a particle moving rectilinearly according to x = t3 – 312 -45t m, where t is in sec. Draw the x-t, v-t and a-t curves for the interval 0sts8 sec. Determine the distance travelled during the first 8 seconds.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...

See similar textbooks

Related questions

Q: A material point moving along a straight line enters an 87.5 m segment with speed 5.0 m/s and leaves…

Q: of the integral $B ds for (a) path 1 and (b) path 2? D2 (a) Number i 4.89 Units uT (b) Number i…

Q: 1.1 A particle P moves along the X-axis with acceleration a at a time t given bya =6 ms – 2tms…

Q: he coordinates of a particle moving in the XY plane are given as function of tin 67 m/s^4) t ^4 Y =…

A: Acceleration = dv/dt

Q: Consider a particle moving rectilinearly according to x = t3 – 3t2 -45t m, where t is in sec. Draw…

A: Solution:-

Q: Two masses hanging side by side from springs have positionss1 = 2 sin t and s2 = sin 2t,…

A: Here, what is to be obtained is t>0 such that Given,

Q: A drowsy cat spots a flowerpot that sails first up and then down past an open window.The pot is in…

Q: The position of an object moving vertically along a line is given by the function s(t) = -4.9t2 +…

A: Givens(t) = -4.9t2 + 35t + 22

Q: Particle A is moving along positive horrizontal axis and particle B is moving along the graph f(x)…

A: From the given data graph can be drawn as:Coordinates of C (5,0)Coordinate of A (6.7,3)Coordinate of…

Q: Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

A: Given that, Position vector r(t)=(t2)i+(t+13t3)j+(t-13t3)k

Q: Physics. A particle starts out from the origin. Its velocity, in miles per hour, after t hours is…

A: Equation of motion are those equations that mathematically represents the motion of a body with…

Q: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of…

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

Q: A particle moves along the yy axis so that its position at any time t, for 0≤t≤5t, is given by…

Q: Give the distance travelled by a particle initially at the origin moving in a straight line at time…

A: Position at t=0 ⇒ x0=40+30+1 x0=1

Q: A rocket ship has a position given by x(t)=bt2 meters. In order for it to reach a velocity of 5,000…

Q: Suppose that a movie is being filmed in some city. An action shot requires an object to be thrown…

Q: A rocket ship has a position given by x=bt^2 meters. In order for it to reach a velocity of 3,000…

A: Position of rocket ship is given by : x = b×t2Final velocity (v) = 3000 m/s distance moved (d) =…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.7t - 3.1t where x is in feet…

A: Given values,

Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the…

Q: Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

A: It is given that r(t)=(t2)i+(t+13t3)j+(t-13t3)kV(t)=ddt(r)V(t)=(2t)i+(1+t2)j+(1-t2)k At t=1 v→=2i+2j…

Q: Consider motion with the velocity v(t) = 2t2. Show that vaverage ≤ v(t1) + v(t2) with average value…

Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s…

A: Given particle moves in s = 0.01t4-0.03t3 a) Hence the velocity of the particle is v = dsdt = 0.04…

Q: The positions of two particles on the s-axis ares1 = sin t and s2 = sin (t + π/3), with s1 and s2 in…

A: The position of two particles is given by:- s1=sin t -----(1) [Given] s2=sin (t + π3)-----(2)…

Q: A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position…

A: Initially frog at the origin, with coordinates O(0,0,0) After a second it is at point P, P=(5…

Q: Suppose we are told that the acceleration a of a particle moving with uniform speed ν in a circle of…

A: We consider mass [M] , length [L] and time [T] as fundamental quantities . Hence, The dimension of…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.7t - 5.5t wherexis in feet…

Q: A bullet is traced with a fixed ruler and flash twice with a time interval of 2 ± 0.06 ms. If the…

A: Given: Time interval t is 2+-(0.06) ms Position 2 is 37.5+-(0.5) cm Position 1 is 23.0+-(0.5) cm

Q: A particle is restricted to move along one dimension, the x-axis. The graph below plots the velocity…

Q: The velocity function (in meters per second) for a particle moving along a line is v(t) = 4t−3. Find…

A: To find the distance traveled by the particle during the time interval, determine the time interval…

Q: For a short time, the path of the plane in the figure is described by y = (0.001x^2) m. If the plane…

Q: The equation for position x (meters) for a particle moving horizontally with a constant acceleration…

A: Initiial velocity of particle (v0) = 0 m/s. Initial position (x0) = 0 meters. constant acceleration…

Q: A particle moves along a line with a velocity 1 v(t) = - 3, measured in meters per t3 second. Find…

Q: The motion of a particle is given in spherical coordinates by the equations: =2+cos (3wt)| and Ø =…

A: Given that, radius (r) =c Angular displacement(θ) = π42+ 14cos3ωt…

Q: Chapter Ten Rectilinear Motion 317 = 312 (a) the particle is initially at rest at the origin. X =S…

A: Given v=3t2+4t

Q: The acceleration function (in m/s2) and the initialvelocity are given for a particle moving along a…

A: Given, Initial velocity, V(0)=-4 m/s acceleration, a(t)=2t+3 m/s2 Time interval :

Q: You encounter a moving walkway that is 81 m long and has a speed of 2.1 m/s relative to the ground.…

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

Q: A body travels uniformly a distance of (13.8+0.2) m in a time (4.0 + 0.3) S. The velocity of the…

A: Correct option (b) (3.45±0.3) m/s

Q: Two objects, A and B, are moving along two different straight lines at constant speeds. With…

Q: In a sport feast, a soccer ball is kicked from ground level over level ground with an initial…

Q: Consider a particle that is moving along a straight line such that its position is given by x = t…

Q: Consider a particle moving rectilinearly according to x = t3 - 3t2 -45t m, where t is in sec. Draw…

Q: A particle moves in one dimension according to the equation: x(t)= 2.0m + (5.0m/s)t - (6.2m/s2)t2.…

A: Given that x(t)= 2.0m + (5.0m/s)t - (6.2m/s2)t2 find the time t , vx ,ax

Q: If s (t) = 4t3 – 3t describes the position of a particle moving along a straight path where s (t) is…

Q: A particular moves along a straight line with equaiton of motion s = 1 reverse its direction. 3t+2.…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

kinematics of particles rectilinear motion (please show the complete solution with the derivatives)

Consider a particle moving rectilinearly according to x = t3 - 3t2 -45t m, where t is in sec. Draw the x-t, v-t and a-t curves for the interval 0<t<8 sec. Determine the distance travelled
during the first 8 seconds.

Study of objects in motion.

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

VIEW

Step 2

VIEW

Step 3

VIEW

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, physics and related others by exploring similar questions and additional content below.

Similar questions

A particle moves along a curve whose parametric equations are: x=e^(-t), y=2cos(3t) and Z=2sin(3t) Determine: velocity and acceleration as a function of time
The position of a particle along a coordinate axis at time t (in seconds) is given by s(t)=3t^2−t (in meters). Find the function that describes its acceleration at time t. Provide your answer below: a(t)= m/s^2
Consider motion with the velocity v(t) = 2t2. Show that vaverage ≤ v(t1) + v(t2) with average value of function.
Consider a particle moving rectilinearly according to x = t3 – 3t2 -45t m, where t is in sec. Draw the x-t, v-t and a-t curves for the interval 0 ≤ t ≤ 8 sec. Determine the distance travelled during the first 6 seconds.
A particle moves along the x-axis so that it’s position at any time t≥0t≥0 is given by x(t)=t3−3t2+t+1x(t)=t3−3t2+t+1. For what values of t, 0≤t≤30≤t≤3 , is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.
Describe the motion of a particle with position as varies in the given interval. x=sint, y=cos2t -2pi < t < 2pi
A particle moves along the yy axis so that its position at any time t, for 0≤t≤5t, is given by y(t)=t4−18t2. Find the intervals in which the particle is speeding up.
The positions of two particles on the s-axis ares1 = sin t and s2 = sin (t + π/3), with s1 and s2 in meters and t inseconds. At what time(s) in the interval 0 ≤ t≤ 2π do the particles meet?
A particle performs a one-dimensional motion with the position given by the time equation x(t) = 1,3t4 - 2,0t3, where x is given in meters and t is given in seconds. At time t=0, the particle starts its motion at the origin x=0. At what instant (in seconds) does the particle reverse its direction of motion?
A particle is moving on xy plane, with x=15sin(2t), and y = 20cos(2t) Find the magnitude of the velocity as a function of time
Let v(t)=t^2 - 2t - 5 be the velocity function for a particle moving along a straight line. Here, velocity is measured in meter per second. What is the displacement for the time interval 2 ≤ t ≤ 4? What is the distance travelled for the time interval 2 ≤ t ≤ 4?
A particle moves in one dimension according to the equation: x(t)= 2.0m + (5.0m/s)t - (6.2m/s2)t2. Find the time at which x has its maximum value, and what vx and ax are at that time?