Find the Position Vector of a Particle That Has the Given

question 26

Short Answer

Find the position vector of a particle that has the given acceleration and the given initial velocity and position. $$\mathbf { a } ( t ) = - 4 \mathbf { k } , \mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { j } - 20 \mathbf { k } , \mathbf { r } ( 0 ) = 4 \mathbf { i } + 9 \mathbf { j }$$

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Definitions:

Aerobic

Pertaining to activities or exercises that improve the efficiency of the body's cardiovascular system in absorbing and transporting oxygen.

Isometric

Exercise involving muscle contractions without movement, typically performed against an immovable object or force.

Isotonic

Relating to muscle contraction where the muscle shortens to move a load while maintaining constant tension.

Aerobic Fitness

The ability of the heart and lungs to supply oxygen to the muscles during prolonged physical activity, indicating cardiovascular health.