: The velocity of a particle traveling along a horizontal axis is given by v(t) = -4t3 + 3t2 +8t+4 where v(t) is feet/second and time is t seconds. a) Write the expression for the particle's position, s(t) if its position at t = 2 seconds is 23 feet. s(t) = b) Write the equation of the linear function that is tangent to the function s(t) at (2, 23). 1(t) = = c) What is the particle's approximate position at t = 1.99 using the linear function? Select an answer d) Write the expression for the particle's acceleration. a(t) e) a(2): = == Select an answer Select an answer f) At time t Units: Select an answer Units This tells us that the approximation in (c) is an and the tangent line lies because the position function is Select an answer the function. = 2 seconds, the particle is Select an answer because Select an answer