Kinematics on a line Problem set A Answers

1. (a) \(v = −20\sin 5t\), \(a = −100\cos 5t\)
2. (b) \(v = −6e^{-2t}\), \(a = 12e^{-2t}\)
3. (c) \(v = 8 (2t + 1)^{3}\), \(a = 48 (2t + 1)^{2}\)

1. (a) \(a = 9s + 6\)
2. (b) \(a = 2s^{3} - 8s\)
3. (c) \(a = e^{2s}\)

1. (a) −3.44 m s⁻¹
2. (b) 1.78 m

1. (a) −1.68 m s⁻¹
2. (b) 54.4 m s⁻²

1. (a) \(a = 9s - 72\)
2. (b) −36 m s⁻². Negative: she is slowing down.

1. (a) 11.5 m s⁻¹
2. (b) 26.5 m s⁻¹

1. (a) \(a = −20\sin 2t\)
2. (b) \(k = −4\)

\(a = -s\)