-suppose a ball from the top of five story building onto the sidewalk 70 feet below 'a)what is the initial velocity of the ballb)determine a function for the height of the ball t seconds after releasedc)how long will the ball be in the air before it his the ground4-consider the sequence that begins 1,1,1 and continues by the rule :every subsequent element of the sequences is the sun of the three preceding elements .each answer is worth two pointsa)determine the next five (fourth through eighth )elements of the sequence .B)computer the ratio of the seventh and eighth elements of the sequence .is it close to the golden ratio ?5-suppose that of 30 cars in the parking lot ,8 are foreign ,including 3 red cars .there are a total of 12 red cars in the lota)draw a venn diagram of this informationb)how many cars in the lot aren t foreign and aren t red ?6-make a simple flowchart in which you purchase instant scratch -off lottery tickets one at a time .you stop when you purchase a winning ticket