Very quick Velocity/acceleration conceptual question

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Homework Statement


a) Does the initial speed of an object have anything to do with its acceleration?
b) Does the direction of an object’s initial velocity have anything to do with its acceleration?

Homework Equations


N/A


The Attempt at a Solution



Does the initial speed of an object have anything to do with its acceleration? No, the initial speed does not have anything to do with its acceleration. The acceleration of an object is proportional to the force acting on it, independent of initial velocity. Does the direction of an object’s initial velocity have anything to do with its acceleration? Yes, because acceleration is a vector that is calculated by:

a ⃑=(∆v ⃑)/∆t

If the initial velocity of an object is in an opposite direction to the constant acceleration it affects the acceleration.


Is this right?
 
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Actually, I think that my answer to the second question is wrong...it should also be no. The acceleration of an object is constant, regardless of velocity, assuming a constant force such as gravity.