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tmua.me Medium Set A Paper 1 · Q18

Paper 1Algebra

A particle moves on a straight line. At time tt seconds its coordinate, in metres, is

x(t)=t(t−2)(t−5).x(t)=t(t-2)(t-5).

For how many seconds in total during 0<t<50<t<5 is the particle moving towards the origin?

A22
B73\dfrac73
C52\dfrac52
D83\dfrac83
E2193\dfrac{2\sqrt{19}}3
F33

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