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A particle moves in a straight line and has acceleration given by a(t) = 7t –...
Need both answered please! 1. A particle moves with acceleration function a(t) = 8t + 5. Its initial velocity is v(O) = -4 cm/s and its initial displacement is s(0) = 5. Find its position after t seconds. s 2. The equation of motion of a particle is S = t3 - 9t, where s in meters, and t is in seconds. Find a) The velocity and acceleration as a function oft b) The acceleration after 4 seconds.
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...
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 = 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.
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( )
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?
1. The acceleration of a particle moving in a straight line is given by a = ut+1. The particle starts out at t=0 s with a position of r=0 m and a velocity of 2.0 m/s. Find its velocity after 5 s.
show all your working, please. particle moves along a straight line with an acceleration a= (1 + 02) m/s2 v=0 when s = 0. 1.1) [1] Determine the acceleration of the particle when v= 1 m/s. 1.2) (5) Determine the velocity as a function of position
The velocity of a particle, which moves along a straight line, is given by 62r m/s . The particle is at the position x3 when 0s. Find the position x, velocity S, and acceleration , when t-4s. (2 points) 1. 3/2