A truck travelling due north at $20 \,m/s $ turns west and travels at the same speed. The change in its velocity be
$40\, m/s \,N-W$
$20\sqrt 2 \, m/s\, N-W$
$40\, m/s\, S-W$
$20\sqrt 2 \,m/s \,S-W$
A truck travelling due north at $20 \,m/s $ turns west and travels at the same speed. The change in its velocity be
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. $S - W$
$\vec v _1 = 20\hat j$ 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. $S - W$