Acceleration, velocity, position Suppose the acceleration
Chapter 1, Problem 32E(choose chapter or problem)
Acceleration, velocity, position Suppose the acceleration of an object moving along a line is given by a(t) = -kv(t), where k is a positive constant and v is the object's velocity. Assume that the initial velocity and position are given by v(0) = 10 and s(0) = 0, respectively,
a. Use a(t) = v'() to find the velocity of the object as a function of time.
b. Use v(t) = s'() to find the position of the object as a function of time
c. Use the fact that dv/dt = (dv/ds) (ds/dt) by the Chain Rule to find the velocity as a function of position.
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