Asked by Farah
An oceanographer measured a set of sea waves during a storm and modelled the vertical displacement of waves in meters using the equation h(t)=0.6cos2t+0.8sint, where t is the time in seconds.
a) Determine the vertical displacement of the wave when the velocity is 0.8m/s
b) Determine the maximum velocity of the wave and when it occurs.
c) When does the wave first change from a hill to a trough? Explain.
Ans: I tried finding the part a) by first finding the derivative, then how do i go about simplifying it. how do i find the max velocity with cos and sin in the function?
a) Determine the vertical displacement of the wave when the velocity is 0.8m/s
b) Determine the maximum velocity of the wave and when it occurs.
c) When does the wave first change from a hill to a trough? Explain.
Ans: I tried finding the part a) by first finding the derivative, then how do i go about simplifying it. how do i find the max velocity with cos and sin in the function?
Answers
Answered by
bobpursley
velocity is max when acceleration is zero, so find acceleration, set it to zero, and find t.
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