Question 177: Motion in 2D & Vectors

Question

A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) 
at time t = 2 s and (13 m, 14 m) at time t = 5 s. 
Average velocity vector $$\left( {{{\overrightarrow v }_{av}}} \right)$$ from t = 0 to t = 5 s is

Accepted Answer

$$\overrightarrow {{v_{av}}}  = {{\Delta \overrightarrow r \,(displacement)} \over {\Delta t\,(time\,taken)}}$$
$$ = {{\left( {13 - 2} \right)\widehat i + \left( {14 - 3} \right)\widehat j} \over {5 - 0}} = {{11} \over 5}\left( {i + j} \right)$$

Answer

$${1 \over 5}\left( {13\widehat i + 14\widehat j} \right)$$

Answer

$${7 \over 3}\left( {\widehat i + \widehat j} \right)$$

Answer

$$2\left( {\widehat i + \widehat j} \right)$$

Answer

$${11 \over 5}\left( {\widehat i + \widehat j} \right)$$

Motion in 2D & Vectors

A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s and (13 m, 14 m) at time t = 5 s. Average velocity vector $\left( {{{\overrightarrow v }_{av}}} \right)$ from t = 0 to t = 5 s is

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