Desde un edificio de 10.0 [m] de altura se lanza un proyectil, con una velocidad inicial de 5.0 [m/s] formando un ángulo de 30° con la horizontal. Determine: a) Las componentes ortogonales de la velocidad inicial b) El tiempo de vuelo del proyectil c) La velocidad junto antes de tocar el piso d) La altura máxima alcanzada por el proyectil e) El alcance del proyectil

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see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west