The position of a particle moving along a coordinate line is s= 9+ 4t, with s...
The position of a particle moving along a coordinate line is s = √(5+ 4t), with s in meters and t in seconds, Find the rate of change of the particle's position at t=5 sec. The rate of change of the particle's position at t=5 sec is _______ m/sec. (Type an integer or a simplified fraction)
1.7.59-PS Question Help The position of a particle moving along a coordinate line is S= 28 +41, with sin meters and in seconds. Find the rate of change of the particle's position at t = 2 sec. The rate of change of the particle's position att 2 sec ism (Type an integer or a simplified fraction) /sec.
Please answer with work Solve the problem. 8) The position of a particle moving along a coordinate line is s = 12 + 2t with s in meters and t in seconds. Find the particle's acceleration at t = 1 sec. 8) A) - 3 m/sec2 B) - m/sec2 c) m/sec2 D) 5 m/sec2 16
(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?...
(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...
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 position ModifyingAbove r With right-arrow of a particle moving in an xy plane is given by ModifyingAbove r With right-arrow equals left-parenthesis 4 t cubed minus 3 t right-parenthesis ModifyingAbove i With caret plus left-parenthesis 6 minus 2 t Superscript 4 Baseline right-parenthesis ModifyingAbove j With caret with ModifyingAbove r With right-arrow in meters and t in seconds. In unit-vector notation, calculate (a)ModifyingAbove r With right-arrow, (b)v Overscript right-arrow EndScripts, and (c)a Overscript right-arrow EndScripts for t = 2...
The instantaneous speed of a particle moving along one straight line is v(t) = ate−4t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.) Answer: V= a
11. Suppose the position function of a particle moving along a straight line is given s(t) = t3 - 3t2 + 8, where s is in meters and t is in seconds. Include units in your responses. (a) How far has the particle traveled in 1 second? (b) What is the velocity of the particle at 1 second? (c) What is the acceleration of the particle at 1 second? (d) is the particle speeding up or slowing down or neither...
Q1 The position of a particle moving along an x axis is given by x = 1242 – 213, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (1+2+1+1+1]