本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions，类别为 IB数学
[问答题]
Ali is swimming in a publittq:5 2dhy)ekot6 mgc(wg .y)c 0t i j2 (tesi+fp/v+wepool with some of his friends. At time t seconds, he encountersencounters some wavesfti0 (wi/2p e+ t+evsj with height $h_1$(t)=0.15sin(3t) from big Bobby jumping into the pool, and waves of height $h_2$(t)=0.08sin(3t+1.25) from small Suzie jumping into the pool. Both $h_1$(t) and $h_2$(t) are measured in metres.
1.Write, in the formh(t)=Asin(ωt+φ), an expression for the total height of the waves Ali encounters at time t seconds.
2.Find the times in the first 5 seconds when Ali isn't affected by any waves.
3.Find the first time when the waves reaching Ali has maximum height.
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