Gujarati
3-2.Motion in Plane
medium

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

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

(d) From figure
$\vec v _1 = 20\hat j$ and $\vec v _2 = – 20\hat i$
$\Delta \vec v  = \vec v _2 – \vec v _1 = – 20(\hat i + \hat j)$
$|\Delta \vec v |\, = \,20\sqrt 2 $ and direction
$\theta = {\tan ^{ – 1}}(1) = 45^\circ $ i.e. $S – W$
Standard 11
Physics

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