Final answer:
The neurotransmitter reaches the target cell by diffusion (option 2) after being released into the synaptic cleft through exocytosis from the presynaptic neuron's axon terminal.
Step-by-step explanation:
The neurotransmitter released into the synaptic gap reaches the target cell primarily by diffusion. When an action potential travels down the motor neuron's axon to the axon terminal, voltage-gated Ca2+ channels open and allow Ca2+ ions to enter.
These ions facilitate the merging of neurotransmitter-containing synaptic vesicles with the presynaptic membrane, resulting in neurotransmitter release through exocytosis into the synaptic cleft. Once released, the neurotransmitter diffuses across the synaptic cleft and binds to ligand-gated ion channels on the postsynaptic membrane, which can lead to further propagation of the nerve impulse in the next cell or result in a muscle contraction when the cell is part of a muscle fiber.