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
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...
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...
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.
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
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( )
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 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
49 line with an 12-8. A particle moves acceleration of a-5/341n+30)m/s, where s us meters. Determine the particle's velocaty when s- 2m, f st starts from rest when s-1 m Use a numenical method to evaluate the integral 12-17. The acceleration of a partacle as it moveés along a straaght line is given by a -2r-1)m/s. where t is in seconds. If s . 1 m and U-2 m/s when I 0, determine the partacle's velocity and position when6s Also...
1. A particle traveling along a straight line has an acceleration given by a -1.5t m/s', where t is in seconds. At t = 0, so 2 m, and Vo-5 m/s. Determine a. v and s as functions of t b, the displacement from t 1 s to t 5 s, c. the average velocity from t 1 s tot 5 s, and c. the distance the particle travels from t-1 s to t = 5 s