from O. 8 A particle of mass 2 kg moves in a straight line. At time...
A particle P moves along a straight line in such a way that at time t seconds its velocity v m s^-1 is given by v = 1/2 t^2 - 3t + 4 Find the times when P is at rest. the total distance travelled by P between t = 0 and t = 4.
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...
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 point particle with mass M moves along a straight line under the influence of a net force that is a function of time, given by: Fx=Bt2, where B is positive and constant. a) If the particle starts from rest, find how long it will take it to cover a distance L. b) Find the speed of the particle after it has traveled a distance L. c) Find the work done on the particle by the net force over the...
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( )
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...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
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 so that its position after seconds is given by where measures the distance from the starting point in inches. On which time intervals is the particle moving in a positive direction? Find each open interval where the function f ( x ) = x x 2 + 1 is concave upward. At what -value(s) does have an inflection point?