Vector uses in physics – Calculate velocity and acceleration – Exercise 3866

Exercise

Given a vector radius of a point as a function of time

$\vec{r}(t)=\vec{v_0}t-\frac{1}{2}gt^2\vec{k}$

Where the initial velocity is

$\vec{v_0}=\vec{v}(0)=(v_{01},v_{02},v_{03})$

Calculate the velocity function, the acceleration function and their values (size).

Final Answer

$\vec{v}(t)=(v_{01},v_{02},v_{03}-gt)$

$|\vec{v}(t)|=\sqrt{v^2_{01},v^2_{02},{(v_{03}-gt)}^2}$

$\vec{a}(t)=-g\vec{k}$

$|\vec{a}(t)|=g$

Coming soon…

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