1. Suppose you had a rocket that could ascend in various rates, and suppose you had a basketball stuck on a water tower 160 feetabove the ground. At what velocity would you need to fire the rocket, so it would touch the basketball (just enough to dislodge it), and then return to the ground? (Hint: Use the formula s(t) = -16t² + v₀t + s₀, where s(t) is the height above the ground in t seconds, v₀ is the initial velocity, t is the time in seconds, and s₀ in the initial height off the ground.

Select one:

A.101.19 feet per second

B.40 feet per second

C.160 feet per second

D.50.60 feet per second

E.2560 feet per second

2. Suppose Albert can paint a 10 ft by 10 ft by 8 ft high room in 10 hours, and Alma can paint the same room in 8 hours. What inequality could you use to determine the minimum time it would take for both of them to paint the room together?

Select one:

A.10x = 8y

B.10x + 8x = 18

C.y = (10/8)x

D.1/10 + 1/8 1/x

E.10/x + 8/x > x/18

3. At the 102nd floor, the Empire State Building in New York City is 1250 feet high. If a baseball were thrown vertically upward at the rate of 80 feet per second from that top floor, during what interval of time would the ball be above the 102nd floor?

Select one:

A.(-, 0) U(5, )

B.(-,)

C.(0, 5)

D.(-, 0) U (0, 5) U (5, )

E.(-, 5) U (5, )