A student accidentally drops her keys from rest from a balcony 50m above the ground. Exactly 1.0s after the keys are released, she throws a rock straight downward from the same point with a speed of 15m⋅s−1. Neglect air resistance. At what time after the keys are released does the rock catch up to the keys?
a) 1.33s
b) 3.0s
c) 2.0s
d) 1.6s