IB MAI HL Calculus Topic 5.2 Integration (id: d30249847)

本题目来源于试卷: IB MAI HL Calculus Topic 5.2 Integration，类别为 IB数学

[填空题]
Kai launches stones from a slingshot into txb 4eh1l:,;enop w:fxst1n) h he air. Each time he launches ac u au4pmp4,9dmhsy,+ stone, he records the angle, \theta , in degrees, at which the stone is launched, and the horizontal distance, L , in metres, which the stone travels from his shooting position upc+ dap 4mus,m,h94y to where it first lands. The diagram below illustrates how the stones travel in the air when launched at different angles.


Kai analyses his results and concludes:

$\frac{\mathrm{d} L}{\mathrm{~d} \theta}=-0.08 \theta+3.3, \quad 0^{\circ} \leq \theta \leq 90^{\circ}$ .

1. Determine whether the graph of L versus \theta is  ----待选择----increasing decreasing  at $\theta= 50^{\circ}$ .

Kai observes that when the angle is $30^{\circ} $, the sling stone will travel a horizontal distance of $90 \mathrm{~m}$ .
2. Find an expression for L in terms of $\theta$ .
L= -0.04$\theta$$^2$+ a$\theta$+b ;a=  ,b=  .

参考答案:
空格1: decreasing  空格2: 3.3  空格3: 27 


本题详细解析:

微信扫一扫，分享更方便