Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 125

Stuntman jump. A movie stuntman is to run across a rooftop and jump horizontally off it, to land on the roof of the next building (Fig. 4.41). The rooftops are separated by \( h = 4.8 \text{ m} \) vertically and \( d = 6.2 \text{ m} \) horizontally. Before he attempts the jump, he wisely calculates if the jump is possible. Can he make the jump if his maximum rooftop speed is \( v_0 = 4.5 \text{ m/s} \)?