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

Which golf ball went higher, and how many feet? (Desmos!)-example-1
User Umi
by
6.9k points

1 Answer

5 votes

Answer:

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.

User Jyothi Babu Araja
by
7.2k points
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