While exploring a distant asteroid, you drive your rover off a 20-m-high cliff, mov- ing at a speed of 6 m/s. Due to irregularities in the shape of the asteroid the acceleration of gravity does not point straight down but rather a bit towards you at a 30 angle from the vertical. The asteroid is also not very big so the magnitude of the acceleration of gravity is equal to 1.5 m/s. (a) What is the distance you travel before hitting the ground below? (b) With what initial speed should you have been traveling if you wanted your final velocity vec- tor to point straight downward? 24