Question

According to NBA standards, a basketball should bounce back 2/3 the distance from which it is dropped.

Answer 1

Answer:

The ball will bounce back to 2.5 feet if it is dropped from a height of 3 3/4 feet

Step-by-step explanation:

Height of drop = 3 3/4 feet

$\texttt{Height of drop = }3\frac{3}{4}feet=\frac{3\times 4+3}{4}=\frac{15}{4}feet$

According to NBA standards, a basketball should bounce back 2/3 the distance from which it is dropped.

So the ball will bounce back to 2/3 of dropping height,

Here

          $h=\frac{15}{4}feet\\\\\texttt{Height to bounce backed = }\frac{2}{3}\times \frac{15}{4}=\frac{30}{12}\\\\\texttt{Height to bounce backed = }\frac{5}{2}=2.5feet$

The ball will bounce back to 2.5 feet if it is dropped from a height of 3 3/4 feet

Answer 2

3×4=12
2×4=8

8/12

4×3=12
3×3=9

3 9/12

3 9/12-8/12= 2 11/12

If I am not wrong then the answer is 2 11/12