Aflare is launched from a boat. the height, , in meters, of the flare above the water is approximately modelled by the function, where is the number of seconds after the flare is launched. how many seconds will it take for the flare to return to the water?

A2k pendulum has a speed of 1 m/s at a height of 1/2 meter

The two stars in a certain binary star system move in circular orbits. the first star, alpha, has an orbital speed of 36 km/s. the second star, beta, has an orbital speed of 12 km/s. the orbital period is 137 d. a) what is the mass of the star alpha? b) what is the mass of the star beta?

Consider two less-than-desirable options. in the first you are driving 30 mph and crash head-on into an identical car also going 30 mph. in the second option you are driving 30 mph and crash head-on into a stationary brick wall. in neither case does your car bounce off the thing it hits, and the collision time is the same in both cases. which of these two situations would result in the greatest impact force?