Question

When Michael Wilson of the Harlem Globetrotters slam- dunked a basketball 12 feet, his hang time for the shot was approximately 1.16 seconds. What was the vertical distance of his jump, rounded to the nearest tenth of a foot?

Answer 1

5.4 feet.

Explanation:

We have been given that when Michael Wilson of the Harlem Globetrotters slam- dunked a basketball 12 feet, his hang time for the shot was approximately 1.16 seconds. We are asked to find vertical distance of his jump.

We will use formula
`t=(√(d))/(2)` to solve our given problem, where, 't' represents hang time of a player and 'd' represents vertical distance of a player's jump.

Upon substituting
`t=1.16` in above formula, we will get:

`1.16=(√(d))/(2)`

Multiply both sides by 2:

`1.16*2=(√(d))/(2)*2`

`2.32=√(d)`

Now, we will square both sides of our equation as:

`2.32^2=(√(d))^2`

`5.3824=d`

Round to nearest tenth of a foot:

`d\approx 5.4`

Therefore, the vertical distance of Wilson's jump was approximately 5.4 feet.