Calculate the kinetic energy of a 0.5 kg soccer ball that is falling at a velocity of 3m/s.

calculate the potential energy of the same soccer ball if the height of the ball is 12m use 10m/s^2 as the acceleration due to gravity

pe = mgh
ke=1/2 m v^2

a. ke =4.5j
pe = 6j

b. ke= 0.75j
pe= 18 j

c. ke= 225j
pe= 600j

d. ke= 2.25j
pe= 60j

Which solid has two triangular bases and three lateral faces, each in the shape of a rectangle? triangular prism triangular pyramid rectangular prism rectangular pyramid

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.