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The function s(t)=ť - 12t - 9 gives the distance from a starting point at time...
5. Let s(t)=ť -12t² +36t+7, 120 be a position function with s measured in feet and t in seconds. 6 points each) a) Find the velocity and acceleration functions. v(t)= a(t)= b) Determine the time or times, t, for which the object is at rest. 6. Let A=In(x2u?) where u and A are functions of t. Find A when u=21 and du = 99. (7 points)
(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...
The position of a particle moving along the x-axis is given by: x=0.08sin(12t+.3) meters, and t is measured in seconds. Determine the position, velocity and acceleration of the particle when t=0.65 sec.
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 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...
Show all work. The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
3 a)The table below gives the velocity v of a moving particle at time t seconds. Find the distance covered by the particle in 12 seconds using Trapezoidal rule and Simpson's a third rule. Find also the acceleration at t-2 seconds t (sec) V mls 2 4 6 8 10 12 16 34 60 94 136 (6marks)
(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?...
S The function s = 12 - 91? + 27t, Osts 4, gives the position of a body moving on a coordinate line, with sin meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? 3.4.7 At time t, the position of a body moving along the...
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...