MTH 234 Midterm: Test2Review

et ((32+2, tet,tcost) be the velocity of a moving object with the initial position r(0) = (0,2,1). Find the position of the object at any time i s. Let v 6. Let C be the curve with equations x=2-t3, y = 2t-1, z=Int Find the parametric equations of the tangent line at the point P corresponding to t .

8. (10 points) A particle is moving along the x-axis. The position of the particle at time t is given by the position function r(t) = (t-1)(t-3), 0 5 a) Find the velocity function v(t) and the acceleration function a(t); b) Find the total distance the particle travels in 5 units of time. (15 points) Find (fl'(0) if

WH4AU17.nb #3 (2 pts) The acceleration function (in m /s), the initial velocity and initial position are given for a particle moving along a line. a(t) = 3t2-4, 0sts4; v(0) = 0, s(0)=0. Find (a) the velocity of the particle at time t (in seconds) (b) the position o f the particle at time t (in seconds) (c) the distance traveled by the particle during the given time interval.