Solved: Acceleration, velocity, position Suppose the
Chapter 6, Problem 38(choose chapter or problem)
Acceleration, velocity, position Suppose the acceleration of an object moving along a line is given by a1t2 = -kv1t2, where k is a positive constant and v is the objects velocity. Assume that the initial velocity and position are given by v102 = 10 and s102 = 0, respectively. a. Use a1t2 = v_1t2 to find the velocity of the object as a function of time. b. Use v1t2 = s_1t2 to find the position of the object as a function of time. c. Use the fact that dv>dt = 1dv>ds21ds>dt2 (by the Chain Rule) to find the velocity as a function of position.
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