The total speed of a projectile at its greater height is sqrt(6/7) of its speed when it is at half of its greatest height. The angle of projection will be :-
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The amine N functions as the nucleophile and attacks the electrophilic C of the alkyl halide displacing the bromide and creating the new C-N bond.
An acid/base reaction. The base (excess amine) deprotonates the positive N (ammonium) center creating the alkylation product, here a secondary amine.
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