Question

A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t^2+150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial: -16t^2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?

Answer 1

The height of Zinger 1 after 6 seconds is given by the polynomial


`-16 t^(2)+150t`, for t = 6,

so the height is
`-16 *6^(2)+150*6=-576+900=324` (feet)


The height of Zinger 2 after 6 seconds is given by the polynomial


`-16 t^(2)+165t`, for t = 6,

so the height is
`-16 *6^(2)+165*6=-576+990=414` (feet)


At the moment the rockets explode, Zinger 2 is 414-324=90 (feet)

higher than Zinger 1.


Answer: 90 feet