On Mars, the acceleration due to gravity is 3.77 m/s. How far h would a 35 g rock fall from rest in 7.5 s if the only force acting on it was the gravitational force due to Mars? h = m While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 6.35 m/s. The stone subsequently falls to the ground, which is 12.3 m below the point where the stone leaves his hand. Ignore air resistance and use g = 9.81 m/s for the acceleration due to gravity. At what speed v does the stone impact the ground? How much time t does the stone spend in the air? v = m/s t = S A small bag of sand is released from an ascending hot-air balloon whose constant, upward velocity is vo = 2.65 m/s. Knowing that at the time of the release the balloon was 57.3 m above the ground, determine the time it takes for the bag to reach the ground from the moment of its release. Use g = 9.81 m/s. x = S A black mamba snake has a length of 2.90 m and a top speed of 4.90 m/s. Suppose a mongoose and a black mamba find themselves nose to nose. In an effort to escape, the snake accelerates past the mongoose at 9.52 m/s from rest. How much time top does it take the snake to reach its top speed? Itop = How far d snake does the snake travel in that time? dsnake = How much time freact does the mongoose have to react before the black mamba's tail passes the mongoose's nose? x10 TOOLS S m Treact= S You throw a baseball directly upward at time t = 0 at an initial speed of 14.9 m/s. Ignore air resistance and use g = 9.80 m/s. Relative to the point where it leaves your hand, what is the maximum height hmax reached by the ball? At what times t up down, respectively? 11,up = hmax = and 11.down does the ball pass through half the maximum height on the way up and the way S 11,down = m S