Question: variable acceleration An insect moves in a straight line. The time, t, is in seconds and distance travelled is in metres. The velocity, v ms,

variable acceleration

An insect moves in a straight line. The time, t, is in seconds and distance travelled is in metres. The velocity, v ms", of the insect is given by v=12 -4t, Ost56, V = C, 651510, v = at +b, 105:$15. You are also given that v = 4 when t = 12. (a) Show that c = 12. (b) Calculate the values of a and b and briefly describe the motion of the insect in the interval 10St $15. [3] (c) Sketch the y-/ curve for the motion of the insect in the interval OS/ $ 6. [3] (d) Calculate the distance travelled by the insect in the interval o St $10 (6]

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