[填空题]
The position,s, in metrta;fl*dc7 hw( a h7ejlt1f q5dv(q(; des, of a cyclist on a straight track can be modelled by the piecewise functionwhere t is the time, in seconds, and a,m∈R.vd15 htfdl( (;aqj7qe
1.Show that a=0.1995 correct to 44 significant figures.
2.Find the exact value of m. m =
3.Calculate the time it takes for the cyclist to travel: s =
(1)15 m; t ≈ seconds
(2)200 m.t ≈ seconds
4.Draw the graph of s versus t, showing the position of the cyclist during the first 20 seconds.
5.Determine the time interval when the cyclist is travelling fastest.
6.Hence find its maximum speed, giving your answer in kilometres per hour. km$h^{-1}$