Question

Calculate how far away from Earth (in time an distance) an extinction event asteroid would have to be broken up so the pieces missed Earth. Also, how far away would it have to be for them to intercept in time. Earth's radius 6.38*10^6 m, Asteroid's radius: 350 miles, Asteroid's velocity; 22,000 mph, Asteroid's density: 5,500 kg/m^3, time to be allotted: 11 hours, nuclear bomb : 100 megatons