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Suppose that the position of a particle is given by 8 = f(t) = 6t3 +...
The acceleration of a particle is given by a = 7t-14, where a is in meters...
The acceleration of a particle is given by a = 7t-14, 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-0 is S0 -4 m, and the initial velocity is Vo 6 m/s. Once you have determined the functions of time, answer the questions Questions: when t = 5.8 s, v= m/s m/s?
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t...
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 +...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 4t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 2 seconds and t = 4 seconds. 16 m/s Correct: Your answer is correct. (b) At what time during this interval is the average velocity equal to the instantaneous velocity? (c) How does this time compare to the average time...
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....
PLEASE SOLVE BOTH QUESTIONS. THANK YOU! Find the Laplace transform, F(s) of the function f(t) =...
PLEASE SOLVE BOTH QUESTIONS. THANK YOU!
Find the Laplace transform, F(s) of the function f(t) = t. t > 0 F(s) = ,s > 0 Question Help: Video Message instructor Submit Question Find the inverse Laplace transform of F 88 – 13 $2 – 55 – 6 3 s +1 S - 6 f(t) = Question Help: Message instructor Submit Question
A particle is travelling along a 1D axis (s-axis) and it's velocity is given as a...
A particle is travelling along a 1D axis (s-axis) and it's velocity is given as a function of time as, v(t) 3t2-5 in m/s. The initial position of the particle is so 10 m, at time t 0 seconds a) Derive expressions for acceleration, a(t), and position, s(t), using the integral/derivative relationships for acceleration, velocity, and position as functions of time. b) Using your formulas from part a, calculate the velocity, acceleration, and position of the particle for every 1...
4. The position of an object as a function of time is given by x(t) at-bt...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
1.) The position of a softball thrown vertically upward is given by y = 7t –...
1.) The position of a softball thrown vertically upward is given by y = 7t – 4.9t2where y is in meters and t is in seconds. Find a) the initial speed of the ball at t=0, b) the velocity at t=1.26 s, and c) the acceleration of the ball. 2.) Starting from rest, an automatic subway train is controlled by a computer that causes it’s motion to follow the equation x = At3 for the first five seconds where x...
A particle moves with position given by s(t) = t 1 with t > 0. +...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
The vector position of a particle varies in time according to the expression r = 8.20...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The acceleration of a particle is given by a = 7t-14, 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-0 is S0 -4 m, and the initial velocity is Vo 6 m/s. Once you have determined the functions of time, answer the questions Questions: when t = 5.8 s, v= m/s m/s?
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
PLEASE SOLVE BOTH QUESTIONS. THANK YOU!
Find the Laplace transform, F(s) of the function f(t) = t. t > 0 F(s) = ,s > 0 Question Help: Video Message instructor Submit Question Find the inverse Laplace transform of F 88 – 13 $2 – 55 – 6 3 s +1 S - 6 f(t) = Question Help: Message instructor Submit Question
A particle is travelling along a 1D axis (s-axis) and it's velocity is given as a function of time as, v(t) 3t2-5 in m/s. The initial position of the particle is so 10 m, at time t 0 seconds a) Derive expressions for acceleration, a(t), and position, s(t), using the integral/derivative relationships for acceleration, velocity, and position as functions of time. b) Using your formulas from part a, calculate the velocity, acceleration, and position of the particle for every 1...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
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