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  • The function f,defined by f(t)=6+cos(t/40)+3sin(7t/40),is used to model the velocity of the plane,in miles per minute,fo

    The function f,defined by f(t)=6+cos(t/40)+3sin(7t/40),is used to model the velocity of the plane,in miles per minute,for 0≤t≤40.According to thhis model,waht is the acceleration of the plane at t=23?What is the average velocity of the plane,in miles per minute,over the time interval 0≤t≤40?
    數(shù)學人氣:642 ℃時間:2020-06-04 19:54:40
    優(yōu)質(zhì)解答
    據(jù)定義,加速度就是速度對時間的微分,故加速度函數(shù)為a(t)=f'(t)=-1/40*sin(t/40)+21/40*cos(7t/40),把t=23帶入即得23分時的加速度a=-0.347miles per minute^2路程是速度對時間的積分,因此平均速度為v1=1/40*∫(0→40)...
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