Exercises 43–45give the velocity y = ds/dt and initial position of an object moving along a coordinate line. Find the object’s position at time t. 43. y = 9.8t + 5, s(0) = 10 44. y = 32t - 2, s(0.5) = 4 45. y = sin pai t, s(0)=0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Exercises 43–45give the velocity y = ds/dt and initial position of an object moving along a coordinate line. Find the object’s position at time t.

43. y = 9.8t + 5, s(0) = 10

44. y = 32t - 2, s(0.5) = 4

45. y = sin pai t, s(0)=0.

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