First slide

Vectors

Question

A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in its velocity be

Moderate

A

40 m/s N-W
B

$20 \sqrt{2} m / s N - W$
C

$40 m / s S - W$
D

$20 \sqrt{2} m / s S - W$

Solution

From figure
$\vec{v_{1}} = 20 \hat{j} and {\vec{v}}_{_{2}} = - 20 \hat{i}$
$| Δ \vec{v} | = \vec{v_{2}} - \vec{v_{1}} = - 20 (\hat{i} + \hat{j})$
$| Δ \vec{v} | = 20 \sqrt{2} and direction$
$θ = \tan^{- 1} (1) = 45^{0} i . e ., S - W$

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