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 an...
Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= -0.06, V(0) = 3, and s(0) = 0 v(t) = (Round to four decimal places as needed.) s(t)=0 (Round to four decimal places as needed.)
Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t) = -0.01, v(0) = 4, and s(0) = 0 v(t) =D (Round to four decimal places as needed.) s(t)= (Round to four decimal places as needed.)
o Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position a(t) = -0.06t, v(0) = 6, and s(0) = 0 v(t)=0 (Round to four decimal places as needed.) s(t)=0 (Round to four decimal places as needed.)
(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...
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
6.1.35 Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= cos xt, v(0) = 4, s(0) = 1 The velocity is v(t)- Type an exact answer.)
Find the velocity function and position function of an object moving along a straight line with the acceleration a(t) = et initial velocity v(0) = 60 and initial position (0) = 40. 3
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...
Find an expression for the velocity function, v(t), of an object moving in a straight line if the object's acceleration function is 7 sin(t) +0.06 and the object's initial velocity is 155 ft/s. Then use your function to determine the object's velocity after 28 seconds.
(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?...