An instrument-carrying projectile of mass m1 accidentally explodes at the top of its trajectory. the horizontal distance between launch point and the explosion is x0 . the projectile breaks into two pieces that fly apart horizontally. the larger piece, m3 , has three times the mass of the smaller piece, m2 . to the surprise of the scientist in charge, the smaller piece returns to earth at the launching station. neglect air resistance and effects due to the earth’s curvature. how far away, x3 f , from the original launching point does the larger piece land?

Three archers each fire four arrows at a target. joe’s four arrows hit at points 10 cm above, 10 cm below, 10 cm to the left, and 10 cm to the right of the center of the target. all four of moe’s arrows hit within 1 cm of a point 20 cm from the center, and flo’s four arrows hit within 1 cm of the center. the contest judge says that one of the archers is precise but not accurate, another archer is accurate but not precise, and the third archer is both accurate and precise. which description applies to which archer? explain

Positive ions differ from neutral atoms in that

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?