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

Kinematics: displacement, velocity and acceleration Problem set B Answers

Skills

    1. (a) 3 cm s⁻¹
    2. (b) 16 cm s⁻²
    1. (a) −4.07 m s⁻¹
    2. (b) 3.03 m s⁻²
    1. (a) t = 2 s and t = 5 s
    2. (b) s = 52 m and s = 25 m
    1. (a) −9.09 cm s⁻¹
    2. (b) t = 1.57 s
    3. (c) 10 cm s⁻¹
    1. (a) slowing down
    2. (b) speeding up
    3. (c) slowing down
    1. (a) \(v=3 t^{2} - 10 t + 7\)
    2. (b) \(s=t^{3} - 5 t^{2} + 7 t - 1\)
    3. (c) 2 m

In context

    1. (a) 3.70 m s⁻¹
    2. (b) t = 17.4 s
    3. (c) 45 m
    1. (a) 4.86 cm s⁻¹
    2. (b) 7.2 cm s⁻¹
    3. (c) t = 0.491 s
    1. (a) t = 2 and t = 6 s
    2. (b) 2.33 m
    3. (c) 23.7 m

Stretch

    1. (a) \(v=8(1-0.5t)e^{-0.5t},\ a=4(0.5t-2)e^{-0.5t}\)
    2. (b) t = 2 s, s = 5.89 m
    3. (c) t = 4 s, v = −1.08 m s⁻¹
    1. (a) t = 0.860 s and t = 5.42 s
    2. (b) 28.8 m
    3. (c) −7.97 m

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