18 POINTS Luther is designing a roller coaster for an amusement park. At one point, the roller coaster will enter a horizontal loop at a speed of 31.8 m/s. If Luther does not want the centripetal acceleration to exceed 29.0 m/s2 , what is the minimum radius of the horizontal loop?

Pls! does anybody know a shortcut for answering these types of questions in the future?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

What number should be added to the expression x^2+3x+ in order to create a perfect square trinomial? 3/2 3 9/4 9