A diving board is 5 feet above the water level of the pool. A swimmer steps off the board into the water. The function d = -16x2 + 5 gives
the distance d of the swimmer's feet above the water level after x seconds.
a. When do the swimmer's feet hit the water?
b. When will the swimmer's feet be 4 feet below the water level?
c. The high diving board is 15 feet above the water level of the pool.
How could you translate the function d = -16x2 + 5 to adjust for
the height of the high diving board?

How to determine whether two known pairs of points are on the same line.

What is the length of the segment, endpoints of which are intersections of parabolas y=x2? 11 4 x? 7 4 and y=? 7 8 x2+x+ 31 8 ?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?