7. (2.5 pts) The position of a particle in rectilinear motion is given by x =...
The acceleration of a particle in rectilinear motion is known to satisfy the relation a = x+5 (x: ft, a: ft/s2) where x is its position. Knowing that x = 3 ft and v = 8 ft/s when t = 0, find x and v when t = 0.5 s
The rectilinear motion of a particle is defied by its position vector by the following expresion; x = (2+4t-2t^2) m. Determine a.) The equation that determines its speed and acceleration as a function of time. b.) The time elapsed until the particle passes through the origin and the distance traveled at this time.
The position of a particle is given in cm by x = (7) cos 9?t, where t is in seconds. (a) Find the maximum speed. ...... m/s (b) Find the maximum acceleration of the particle. ...... m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction? ....... s
The position function of a particle undergoing Simple Harmonic Motion is given below: D. 2 = 5 sin (36), where x is in m, and t is in s. Round your answers to the nearest tenth. Do not include units in your answers. (1) What is the particle's period of motion, in s, ? (2) Where will the particle be at t=3s, in m, ? (3) How fast will the particle move at t=1 s, in m/s, ? (4) What...
1. The velocity of a particle in rectilinear motion varies with displacement x according to the relation x=bx- 3 where b is a positive constant. Find the force acting on the particle as a function of x. . dx dx
2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn, where a is in m/s' and s is the distance of the point from the origin in meters. When the time t is 2 seconds, the point is 16m to the right of the origin and has a velocity of 32m/s to the right and an acceleration of 48m/s to the right. Determine: a) the velocity and acceleration of the particle when time is...
A particle executes harmonic motion described by x= 2.5 sin (3.5πT). Where x is in meters and t is in seconds. A) at t=3s what is the acceleration B)What is the period T
The position of a particle is given by the expression x = 2.00 cos (2.00πt + 2π/5), where x is in meters and t is in seconds.a) Determine the frequencyb) determine the period of motionc) determine amplitude of motiond) determine phase constante) determine position of particle at t = 0.310
The position of a particle is given by x = 3.2 cos πt, where x is in meters and t is in seconds. (a) Find the maximum speed and maximum acceleration of the particle. _____________m/s _____________m/s2 (b) Find the speed and acceleration of the particle when x = 2.4 m. ______________m/s _______________m/s2
The position of a particle is given in cm by x = (4) cos 4πt, where t is in seconds. (a) Find the maximum speed. m/s (b) Find the maximum acceleration of the particle. m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction?