A plane flies 10 km east from city A to city B in 2 hrs and then 20 km south from city B to city C in 1 hr. For the total trip, what are the magnitude and direction of its average acceleration?

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Solution

The correct options are
A

D

Average acceleration $= \frac{{\to v}_{2} - {\to v}_{1}}{t}$

$_{1} = \frac{10}{2}^i = 5^i$ (East direction)

$_{2} = \frac{20}{1} (^- j) = - 20^j$ (south direction)

$∴ {\to a}_{a v g} = \frac{- 20^j - 5^i}{3}$ (time of flight=3hrs)

$= \frac{- 20}{3}^j - \frac{5}{3}^i$

since, both x component and y component are negative, it is in the south west direction.

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A plane flies 10 km east from city A to city B in 2 hrs and then 20 km south from city B to city C in 1 hr. For the total trip, what are the magnitude and direction of its average acceleration?

Q. City C is to the South of city B and city A is to the North of city C. In which direction city A is located in respect of city B?

Question 2 (i)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (4, 3)?

Q. (Street plan): A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city-run parallel to these roads and are

200

m apart. There are

5

streets in each direction. Using

1

= 200

m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the

2^{n d}

street running in the North-South direction and

5^{t h}

in the East-West direction meet at some crossing, then we will call this cross-street

(2, 5)

. Using this conversion, find:

(i)

How many cross-streets can be referred to as

(4, 3)

(i i)

How many cross-streets can be referred to as

(3, 4)

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are about 5 streets in each direction. Using 1 cm = 100 m, draw a model of the city on your notebook Represent the roads/streets by single lines.

There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2^nd street running in the North-South direction and 5^th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

(i) How many cross - streets can be referred to as (4, 3).

(ii) How many cross - streets can be referred to as (3, 4).

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A plane flies 10 km east from city A to city B in 2 hrs and then 20 km south from city B to city C in 1 hr. For the total trip, what are the magnitude and direction of its average acceleration?

The correct options are A D Average acceleration =→v2−→v1t →v1=102^i=5^i (East direction) →v2=201(^−j)=−20^j (south direction) ∴→aavg=−20^j−5^i3(time of flight=3hrs) =−203^j−53^i since, both x component and y component are negative, it is in the south west direction.