A particle moves on a vertical line so that its coordinate as a function of time...
A particle moves on a vertical line so that its y-coordinate at time t is y(t)=(1/3)t3-(7/2)t2+10t, where t is greater than or equal to 0. On which interval(s) is the particle slowing down.
Q4 A particle moves so that its position (in meters) as a function of time (in seconds) is = i +4+29+ tk . Write expressions for (a) its velocity and (b) its acceleration as functions of time. [2+2]
(9 points) The function (t) describes the position of a particle moving along a coordinate line, where ® is in feet and t is in seconds t> 0 8(t) = +"- 8t+ 16, If appropriate, enter answers in radical form. Use inf to represent co. (a) Find the velocity and acceleration functions. u(t): a(t): (b) Find the position, velocity, speed, and acceleration at t=1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec): (c) At what times is the particle stopped?...
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
(8c4p11) A particle moves so that its position as a function of time in SI units is r= i + (7.0) t- j ut k. Write expressions for its velocity and its acceleration as functions of time. Evaluate for t = 7.1 s. i-componen velocity? Submit Answer Tries 0/8 j-component of velocity? Submit Answer Tries 0/8 k-component of velocity? Submit Answer Tries 0/8 i-component of acceleration? Submit Answer Tries 0/8 j-component of acceleration? Submit Answer Tries 0/8 k-component of acceleration?...
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A particle moves so that its position (in meters) as a function of time (in seconds) is .Write expressions (in unit vector notation) for (a) its velocity and (b) its acceleration as functions of time.
(1 point) The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = 12 – In(t + 3), t20 36 If appropriate, enter answers using In . Use inf to represent oo. (a) Find the velocity and acceleration functions. u(t): a(t): (b) Find the position, velocity, speed, and acceleration at t = 1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec2): 000 (c) At what...
(14 pts.) 3. A particle moves along a line so that its velocity at time t is v(t) = + - + - 6 (measured in meters per second). a) Find the displacement of the particle during the time period 1 st 54. b) Find the distance traveled 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...