3 Consider shooting a bullet of mass m to three different big blocks. The resistance of the first block is assumed to be proportional to the bullet speed, that for the second block is proportional to vž, and that for the third block is proportional to v². If you fire at these blocks one by one with the same initial speed of vo for your bullets, compute the farthest the bullet can travel in each of these all three cases. Note that the gravitational force for this problem is negligible.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
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Consider shooting a bullet of mass m to three different big blocks. The
resistance of the first block is assumed to be proportional to the bullet speed, that
for the second block is proportional to vž, and that for the third block is
proportional to v². If you fire at these blocks one by one with the same initial speed
of vo
for your bullets, compute the farthest the bullet can travel in each of these all
three cases. Note that the gravitational force for this problem is negligible."

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