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

Answer:

5.4 feet.

Step-by-step 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 $t=\frac{\sqrt{d}}{2}$ 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:

$1.16=\frac{\sqrt{d}}{2}$

Multiply both sides by 2:

$1.16*2=\frac{\sqrt{d}}{2}*2$

$2.32=\sqrt{d}$

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

$2.32^2=(\sqrt{d})^2$

$5.3824=d$

Round to nearest tenth of a foot:

$d\approx 5.4$

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