Antlion larvae lie in wait for prey at the bottom of aconical pit about 5.0 cm deep and 3.8 cm in radius. When asmall insect ventures into the pit, it slides to the bottom and isseized by the antlion. If the prey attempts to escape, the antlionrapidly launches grains of sand at the prey, either knockingit down or causing a small avalanche that returns the preyto the bottom of the pit. Suppose an antlion launches grainsof sand at an angle of 72° above the horizon. Find the launchspeed v0 required to hit a target at the top of the pit, 5.0 cmabove and 3.8 cm to the right of the antlion.

A stalactite in a cave has drops of waterfalling from it to the cave floor below. The drops are equallyspaced in time and come in rapid succession, so that at any givenmoment there are many drops in midair. (a) Is the center of massof the midair drops higher than, lower than, or equal to the halfway distance between the tip of the stalactite and the cave floor?(b) Choose the best explanation from among the following:I. The drops bunch up as they near the floor of the cave.II. The drops are equally spaced as they fall, since they are released at equal times.III. Though equally spaced in time, the drops are closer togetherhigher up

- If a projectile fired with a velocity (400 Km/h) in a nearly horizontal direction of 100 m (latitude 41ºN), what is the drift of the projectile? (@ = 7.27 x 10-5 s-1)

Mo 'm' Vo Mo Vz Two CARTS, EACIH Of mASs M ARE AT REST. A smAu Ò BJECY OF MASS Mo iS LAUNCHED WITH A SPEED o As SHOWN, AND IS THEEN CAUGHT TBy THE OTHER CART, IN TERMS OF mo, Vo M, WHAT is ノ THE FINAL RINETIC ENERCY OF THE 3 OBJECT SSTEM?