The position of a particle as a function of time is given by $\overrightarrow{r}$ = ( 5.0î ＋4.0ĵ )t² m where t is in seconds. What is the particle's speed at t = 0, 2, and 5 s?

The position of a particle as a function of time is given by $\overrightarrow{r}$ = ( 5.0î ＋4.0ĵ )t² m where t is in seconds. Find an expression for the particle's velocity $\overrightarrow{v}$ as a function of time.

The position of a particle as a function of time is given by $\overrightarrow{r}$ = ( 5.0î ＋4.0ĵ )t² m where t is in seconds. What is the particle's distance from the origin at t = 0, 2, and 5 s?

Let E = 2i + 3j and F = 2i - 2j. Find the magnitude of E and F.

(II) Let V₁ (→ above V₁) = ― 6.0 î + 8.0 ĵ and V₂ (→ above V₂) = ― 4.5 î ― 5.0 ĵ. Determine the magnitude and direction of

(c) V₁ (→ above V₁) + V₂ (→ above V₂), and

FIGURE EX3.19 shows vectors A and B. What is C = A + B? Write your answer in component form using unit vectors.

Let ${\vec{V}}_1=-6.0\hat{i}+8.0\hat{j}$ and ${\vec{V}}_2=-4.5\hat{i}-5.0\hat{j}$. Determine the magnitude and direction of ${\vec{V}}_1+{\vec{V}}_2$.

Which of the following correctly expresses the vector $b$ using unit vectors in Cartesian coordinates?