Question

Given that
A=sinti+costj+tk
, find
∣∣∣d^2A/dt^2∣∣∣
7
3
2
1

Answer 1

Answer on Question #56120 – Math – Differential Geometry

Question

A=sinti+costj+tk

, find

//d^2A/dt^2//

7

3

2

1

Solution

$$\frac {d A}{d t} = \cos t i - \sin t j + k$$ $$\frac {d ^ {2} A}{d t ^ {2}} = - \sin t i - \cos t j + 0 k$$ $$\left| \left| \frac {d ^ {2} A}{d t ^ {2}} \right| \right| = \sqrt {\sin^ {2} t + \cos^ {2} t} = 1$$

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