2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn,...
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.
Not sure if these are right 2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2) (3) When is the particle moving in a positive direction? b) vct) -124+30 Ct-1 Ct d-9-12t t3t2 ve) c) Draw a diagram to show the motion of the particle with respect to a distance axis, Indicate key time values Determine...
QUESTIONS find an expression for the instantaneous velocity of an object moving with rectilinear motion according to t (in ft) and t (in s). S = 21² + 71-8 O 4t +7 O 2 + 7 0 4²+70 0 2t +7
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
n unrs S hown on this question sheet. Starting from the origin, the velocity of a particle in rectilinear motion is given as Vo) 2t-14t + 20 m/s, with t in seconds, for the first 10 seconds. Plot the particle's acceleration, velocity, position, and total distance travelled as functions of time in the first 10 seconds.
ube Maps dll TUUTUU IVIDUS NGHI YouTube Maps 4. The motion of a particle in a straight line is given by s(t) = 12t - where s is measured in meters and t in seconds (a) Find find the velocity and acceleration of the particle at time t (b) what is the velocity at time t = 4? If it is known that a particle moves in a positive direction when the position function is increasing: (e) when is the...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
Show all work. The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...