An aircraft flying at a steady velocity of 70 m/s eastwards at a height of 800 m drops a package of supplies. a) Express the initial velocity of the package as a vector

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Answer:

Explanation:

If unit vector towards east is represented by i in the present case ,

initial horizontal velocity of aircraft towards east is 70 m /s . The package dropped by the aircraft will also have same velocity while getting separated from the aircraft . Hence its velocity is represented by the vector ,

v = 70 i .

Its vertical velocity of package at that time will be zero so

v = 70 i + 0 j

= 70 i

Initial Velocity can be defined as the velocity at which the motion starts.

Initial Velocity for the package is [tex]70i[/tex].

Given that an aircraft flying at a steady velocity of 70 m/s eastwards at a height of 800 m.

Here we express the steady velocity as [tex]u\;\rm m/s[/tex]. Distance is expressed by [tex]d\;\rm meter[/tex]. Initial Velocity can be expressed as [tex]v\;\rm m/s[/tex].

Initial velocity can be calculated by the formula given below.

[tex]v\;=\;u\;+\;at[/tex]

In the above formula, [tex]a[/tex] is expressed the acceleration and [tex]t[/tex] is expressed the time of the motion.

For the initial velocity, time [tex]t\;=\;0[/tex] because motion starts in the vertical direction. Let us assume that unit vector can be expressed by [tex]i[/tex] and [tex]j[/tex].

Initial velocity formula in vector form is given below.

[tex]v\;=\;ui\;+\;atj[/tex]

By substituting all the values in the above formula, initial velocity is

[tex]v\;=\;ui\;+\;a\times0j\\v\;=\;ui\\v\;=\;70i[/tex]

So the initial velocity of the package is 70[tex]i[/tex].

For more details about the velocity, follow the link given below.

https://brainly.com/question/862972.

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