HW1_hint

# HW1_hint - HW1 hint Three necessary steps to solve problems...

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HW1 hint Three necessary steps to solve problems: Step 1 . Substitute ( ) a f s = , ( ) a f v = , or ( ) a f t = ; Step 2. Separate variables; Step 3. Integrate. 2.7. a). Substituting ( ) a k v f v = − = into dv a dt = and separating variables, you will get dv dt k v = − (1) After equation (1) is integrated, you can solve v in terms of t. b). Substituting ( ) a k v f v = − = into dv a v ds = and separating variables, you will get kds vdv = (2) After equation (2) is integrated, you can solve v in terms of s. 2.9. Consider how to calculate the slop of a tangential line. 2.29. The idea is similar to problem 2.7. However, this problem is simpler, since
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