The velocity of a particle, which moves along a straight line, is given by 62r m/s...
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...
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.
3. The particle travels along a straight line with a velocity (22 - 5t) m/s, where t is in seconds. If s 10 m whent0, determine the following: a. The position of the particle when t-4s b. The total distance traveled during the time interval from t-0 to 4 s c. The acceleration when t 2s
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/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...
The velocity of a particle moving along a straight line is given by v = 0.2s1/2 m/s where the position s is in meters. At t = 0 the particle has a velocity v0 = 3 m/s. Determine the time when the particle’s velocity reaches 15 m/s and the corresponding acceleration. Ans: 600 s, a = 0.02 m/s2
Problem 2: A particle moves along a straight line such that its position coordinate is defined by x = (t, 6t + 5) m. Determine the average velocity, the average speed, and the acceleration of the particle when t 6s
A particle travels along a straight line with a velocity v=(12-3t2) m/s, where t is in seconds. When t=1s, the particle is located 10m to the left of the origin. Determine the acceleration when t=4s, the displacement from t=0 to t=10s, the distance the particle travels during this time period.
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...