[填空题]
The position,s, in metres, of qa-vh0m m d uk(p;td2e7l,j7i a cyclist o,iah.zm)5 2zul8 cj4 fdy8n)wp 9ds eyn a straight track can be modelled by the piecewise functionwhere t is the time, in sec 5p8) nh.2fed 98mlij da)yuzc,4wzsyonds, and a,m∈R.
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$h^{-1}$