A particle has a position vs time equation r=(3t^2) i + (4t^2 - t^3) j j...

Question

Question

A particle has a position vs time equation

r=(3t^2) i + (4t^2 - t^3) j

j = vertical direction with no gravity

a) find the time when particle reaches peak of its path

b) find the x displacement when the magnitude of the acceleration is a minimum

science physics

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

The vector r(t) is the position vector of a particle at time t. Find the angle...

The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = sin (3t) i + In(31 2 + 1)j + V32.1k os Oo 4 Moving to the next question prevents changes to this answer.
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the part...

9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
r(t) is the position of a particle in space at time t. Find the angle between...

r(t) is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t = 0. r(t) = (ln(t? + 1))i + (tan-At)j + V +2 + 1k

A particle is located at r(t) = 14t i + 6t^2 j. Find its position, velocity...

A particle is located at r(t) = 14t i + 6t^2 j. Find its position, velocity and acceleration at t = 2 s.
A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2

Average and Instantaneous Velocity A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2, where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figure. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times...
The acceleration of a body is given by a (t) = 8 + 4t - 3t^2...

The acceleration of a body is given by a (t) = 8 + 4t - 3t^2 , where a is in m / s^2 and (t) in seconds. TO t = 2.0 s, the initial velocity of the particle is 2.0 m / s. Find the velocity of the particle at t = 4.0 s

1. The position of a particle is described as r=xi+yj, where i and j are the...

1. The position of a particle is described as r=xi+yj, where i and j are the coordinate unit vectors in 2D Cartesian coordinates a?d x and y are the coordinates of a particle. The velocity can be calculated as v=dr/dt. Find an expression for v, by taking the derivative of r with respect to time. 2. a=2.00 t, where t is the time, in seconds, and a is the acceleration in meters per second squared. s=0 and v=0 at t=0....
A particle moves along the x axis according to the equation X(t) = 2 + 3t...

A particle moves along the x axis according to the equation X(t) = 2 + 3t + 4t 2, where x is in meters and t is in seconds. What is the instantaneous acceleration at t = 3s A) 1.0 m/s? B) 3.0m/s? C) 4.0 m/s? D) 8.0 m/s? OOOO
Please show all work and graph #13 Define an equation of path, position of particle M...

Please show all work and graph #13 Define an equation of path, position of particle M on path at t = ti (sec), velocity, normal, tangent and full accelerations of the particle M, radius of curvature at t = tį. The defined parameters show on the graph. ti, sec Equations of motion of particle M r=x(t), cm y=y(t), cm - 21² + 3 -5t 4t +4 t +1 2 sin cos 1 t + 4 - 3 -4t 313 +...

A particle moves so that its position vector is given by r -coswt i+sin wt j...

A particle moves so that its position vector is given by r -coswt i+sin wt j where w is constant a. Show that the velocityof the particle is perpendicular tor . b. Find the magnitude of acceleration in the direction of 2-h C. Show that dt