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IB Mathematics: Applications and Interpretation HL · AHL 2: Further Derivatives · AHL 2.9

Kinematics: displacement, velocity and acceleration Problem set A Answers

Skills

    1. (a) 12 m s⁻¹
    2. (b) 18 m s⁻²
    1. (a) −1.47 m s⁻¹
    2. (b) 0.741 m s⁻²
    1. (a) t = 1 s and t = 4 s
    2. (b) s = 11 m and s = −16 m
    1. (a) −11.9 m s⁻¹
    2. (b) t = 0.524 s
    3. (c) 12 m s⁻¹
    1. (a) slowing down
    2. (b) speeding up
    3. (c) speeding up
    1. (a) \(v=3 t^{2} - 4 t + 3\)
    2. (b) \(s=t^{3} - 2 t^{2} + 3 t + 1\)
    3. (c) 7 m

In context

    1. (a) 4.41 m s⁻¹
    2. (b) t = 12.4 s
    3. (c) 60 m
    1. (a) 4.49 m s⁻¹
    2. (b) 4.5 m s⁻¹
    3. (c) t = 1.46 s
    1. (a) t = 2 and t = 5 s
    2. (b) 6 m
    3. (c) 15 m

Stretch

    1. (a) \(v=5(1-0.4t)e^{-0.4t},\ a=2(0.4t-2)e^{-0.4t}\)
    2. (b) t = 2.5 s, s = 4.60 m
    3. (c) t = 5 s, v = −0.677 m s⁻¹
    1. (a) t = 0.514 s and t = 3.41 s
    2. (b) 27.3 m
    3. (c) −16.0 m

jmaths.xyz · AI HL · AHL 2.9 Kinematics: displacement, velocity and acceleration