Given is:-

now,
part -a
When object has limiting velocity then 
thus

or
This is the limiting velocity.
Part-b
The equation of flight velocity of super girl


or

Integrating both sides we get


which gives us

Part-c
For maximum limiting velocity v'=0
thus

which gives us

which gives us

8. (a) Suppose an object moving supersonically obeys the following motion equation: Find the limiting velocity...
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An object–spring system moving with simple harmonic motion has an amplitude A. (a) What is the total energy of the system in terms of k and A only? E : (b) Suppose at a certain instant the kinetic energy is twice the elastic potential energy. Write an equation describing this situation, using only the variables for the mass m, velocity v, spring constant k, and position x. (c) Using the results of parts (a) and (b) and the conservation of...
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7.
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6.
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5.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
4.
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2.
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7. Do the projectile motion
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