Amail carrier parks her postal truck and delivers packages. to do so, she walks east at a speed of 0.80 m/s for 4.0 min, then north at a speed of 0.50 m/s for 5.5 min, and finally west at a speed of 1.1 m/s for 2.8 min. define east as +x and north as +y. (a) write unit-vector velocities for each of the legs of her journey. (b) find unit-vector displacements for each of the legs of her journey. (c) find her net displacement from the postal truck after her journey is complete.

Explanation:

Given that,

She walks in east,

Speed = 0.80 m/s

Time = 4.0 min

In north,

Speed = 0.50 m/s

Time = 5.5 min

In west,

Speed = 1.1 m/s

Time = 2.8 min

(a). We need to calculate the unit-vector velocities for each of the legs of her journey.

The velocity of her in east

(b). We need to calculate the unit-vector displacements for each of the legs of her journey

Using formula of displacement

In east ,

In north,

In west,

(c). We need to calculate the  net displacement from the postal truck after her journey is complete

Put the value in the formula

We need to calculate the magnitude of the displacement

The magnitude of the displacement is 165.16 m.

Hence, This is the required solution.

3. dark matter

empty space could also be a simple vacuum