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Question

The vector position of a particle varies in time according to the expression $\overrightarrow{\mathbf{r}}=3.00 \hat{\mathbf{i}}-6.00 t^{2} \hat{\mathbf{j}},$ where $\overrightarrow{\mathbf{r}}$ is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t = 1.00 s.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 5$\text{\underline{\textbf{Given data}}}$:

$\overrightarrow{r}=\color{#c34632}{(3\;\hat{i}-6t^2\;\hat{j})}$

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