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2.a. Define displacement r, velocity v and acceleration ab. Use these parameters to derive a kinematic equation that expresses the final velocity vi of anobject as a function of nitial velocity Vo, displacement r and position dependent accelerationa(r).C.Suppose the position dependent acceleration a(r) is given in Figure 2. Find the final velocity ofthe objectd. Consider a sun bound asteroid of mass Ma. The mass of the sun, M,>>Ma. The asteroid isheading directly towards the sun. The attractive gravitational force Fs between the sun and theasteroid is: Fo IGM,M/r1l-r). The initial position of the asteroid is ro and its final position is rbefore reaching the sun. Express the final velocity of the asteroid as a function of ro, Vo, ri, andthe known constants G and M64.2.2

Question
2.
a. Define displacement r, velocity v and acceleration a
b. Use these parameters to derive a kinematic equation that expresses the final velocity vi of an
object as a function of nitial velocity Vo, displacement r and position dependent acceleration
a(r).
C.Suppose the position dependent acceleration a(r) is given in Figure 2. Find the final velocity of
the object
d. Consider a sun bound asteroid of mass Ma. The mass of the sun, M,>>Ma. The asteroid is
heading directly towards the sun. The attractive gravitational force Fs between the sun and the
asteroid is: Fo IGM,M/r1l-r). The initial position of the asteroid is ro and its final position is r
before reaching the sun. Express the final velocity of the asteroid as a function of ro, Vo, ri, and
the known constants G and M
6
4.
2.
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2. a. Define displacement r, velocity v and acceleration a b. Use these parameters to derive a kinematic equation that expresses the final velocity vi of an object as a function of nitial velocity Vo, displacement r and position dependent acceleration a(r). C.Suppose the position dependent acceleration a(r) is given in Figure 2. Find the final velocity of the object d. Consider a sun bound asteroid of mass Ma. The mass of the sun, M,>>Ma. The asteroid is heading directly towards the sun. The attractive gravitational force Fs between the sun and the asteroid is: Fo IGM,M/r1l-r). The initial position of the asteroid is ro and its final position is r before reaching the sun. Express the final velocity of the asteroid as a function of ro, Vo, ri, and the known constants G and M 6 4. 2. 2

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Step 1

a.

Displacement r is the shortest distance between the initial and final position. Velocity v is the rate of change of displacement. Acceleration a is the rate of change of velocity.

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Step 2

b.

Acceleration a is given by,

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Step 3

Integrating the ...

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