Romeo is standing 30 m (horizontally) from Juliet’s balcony, and he throws her a bouquet of
flowers, tossing them with a speed of 20 m/s at an angle of 53.1° above horizontal. Juliet catches
the flowers, inhales their fragran
ce, and swoons.
(The air, as ever, is unwilling to interfere with
young love, so it offers no resistance to the
motion of the flowers.)
(a) Somewhere along their trajectory between
Romeo and Juliet, the flowers will reach their
maximum height. At that moment, what is their
velocity?
(b) At the moment the flowers reach their
maximum height, what is their acceleration?
(c) What was the acceleration of the flowers when they were at
half
their maximum height,
going up?
(d) Calculate how much time it take
s the flowers to fly from Romeo and Juliet, and how high
(above Romeo’s hand) Juliet’s balcony is.
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