ANSWERS: 1

Remember your kinematics equations: at constant velocity (5.0 m/s, in this case), x = vx t, where x is the horizontal distance, vx is the horizontal velocity, and t is the time. Also, for a vertical drop, h = 1/2 g t2, where h is height, g is gravity (9.8 m/s2), and t2 is time squared. Just fill in the numbers and plug away. x = D, vx = 5.0 m/s, h = 2.0 m, so x = vx t becomes D = 5 m/s t and h = 1/2 g t2 becomes 2 m = 1/2 9.8 m/s2 t2. Substitute t from the first equation into the second one and: 2 m = 1/2 9.8 m/s2 (D/(5 m/s))^2. Solve algebraically for D... 2 m = 4.9 m/s2 D2 / 25 m2/s2, so D2 = 100/9.8 m2. D = 3.2 m. Hopefully his bones are strong.
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