(1 point) The function s(t) describes the position of a particle moving along a coordinate line,...
(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?...
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
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)
The position of a particle moving along a coordinate line is s= 9+ 4t, with s in meters and t in seconds. Find the rate of change of the particle's position at t= 4 sec. m/sec. The rate of change of the particle's position at t= 4 sec is (Type an integer or a simplified fraction.)
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
QUESTION 3 The function s = f(t) gives the position of a body moving on a coordinate line, with sin meters and t in seconds. Sa-t3+2t 2.2t, Osts 2 Find the body's speed and acceleration at the end of the time interval. 6 m/sec, -8 m/sec2 -6 m/sec, -8 m/sec 6 m/sec, -2 m/sec2 2 m/sec, 0 m/sec2
The function s(t) describes the motion of a particle along a line. s(t) - 663 - 8t + 2 (a) Find the velocity function v(t) of the particle at any time t 2 0. v(t) = (b) Identify the time interval(s) on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval(s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify...
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.
A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x = -6 ft is v = 7 ft/sec, determine the velocity v when x = 13 ft. a, ft/sec2 -6 0 0 11 13 x, ft -5
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...