A particle P moves along a straight line in such a way that at time t...
A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 21 t^2 + 60 t where s is measured in feet and t in seconds.a) Find the velocity (in ft/sec) of the particle at time t=0:The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B.b) A isc) B isd)What is the position of the particle at time 14?e)Finally, what is...
The acceleration of a particle as it moves along a straight line is given by a=(2t−1) m/s2, where t is in seconds. Suppose that s = 4 m and v = 8 m/s when t = 0. a)Determine the particle's velocity when t = 4 s . b)Determine the particle's position when t = 4 s c)Determine the total distance the particle travels during the 4-s time period.
Given A position of a particle which moves along a straight line is defined by the relation'小64-m» 40, where s is expressed in feet and t in seconds Find a) O b) Or derive the equation of the particle's acceleration as a c) The time at which the velocity will be zero. d) The position of the particle when the velocity is zero. e) The acceleration of the particle when the velocity is zero. t) The displacement of the particle...
The acceleration of a particle as it moves along a straight line is given by a=(2t−1) m/s2, where t is in seconds. Suppose that s = 8 m and v = 9 m/s when t = 0 Previous Answers The acceleration of a particle as it moves along a straight line is given by a (2t-1) m/s2, where t is in seconds. Suppose that s 8 m and 9m/s when VCorrect Part B Determine the particle's position when 8 s...
Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...
the acceleration of a particle as it moves along a straight line is given by a=(2t-1)m/s^2, where t is in seconds.if s=1m and v= 2m/s when t=0,determine the particles velocity and position when t=6s. Also, determine the total distance the particle travels during this time period.
A particle moves in a straight line with the acceleration shown. The particle starts from the origin with V.=-2 m/s. Construct a) Velocity versus time and Position versus time curves for 0 <t< 18 seconds b) Determine the position and the velocity of the particle when t=18 seconds c) Determine the total distance traveled. ooo a( )
from O. 8 A particle of mass 2 kg moves in a straight line. At time t, its displacement from a fixed origin is x metres and its velocity is v ms-t. If the resultant force (in newtons) acting on the particle is: (a) 6 cost, and v=2 and x = 0 when t= 0, then find x in terms of t (b) 2 + 4x, and v= 2 when x = 0, then find v when x = 2...
(1 point) A particle that moves along a straight line has velocity u(t) = te-21 meters per second after t seconds. Find the distance the particle travels during the first t seconds. meters Note: Your answer should be a function of t.
A particle moves along a straight a) The average velocity on the line with equation of motion interval [3,4] s= f(t) = t? - 60 + 10, b) The instantaneous velocity. Where S is measured in meters and t in seconds. find the C) The instantaneous velocity when following: t = 4 seconds. The growth of a bacterial population is represented by the function f(t) = 1 + 5t - 2t2 Where t is the time measured in hours find...