Question

Which golf ball went higher, and how many feet? (Desmos!)

Answer 1

1. 36

2. Second

Explanation:

- For the first ball, we can see the given function:

`f(x)=-16(t^(2)-3t )`

`=-16[t^(2) -3t+(3/2)^(2)-(3/2)^(2) ]`

`=-16(t-(3)/(2) )^(2) +(-(3)/(2) )^(2) *(-16)`

`-16(t-(3)/(2) )^(2) +36`

So the vertex is (
`(3)/(2)`, 36), it means when the ball was hit by the
`(3)/(2)` seconds, it arrived at the highest height of 36 feet.

- For the second ball, we can see the given graph: the vertex is (2,64), it means when the ball was hit by the 2 seconds, it arrived at the highest height of 64 feet.

- Compare to the two heights, 36 (first ball) is less than 64 (second ball), so the second ball went higher.