Question

9.) a golf ball rebounds from the floor and travels straight upward with a speed of 5.0 m/s. to what maximum height does the ball rise?

Explanation:

Step1: List known variables

Initial velocity $v_0 = 5.0\ \text{m/s}$, final velocity at peak $v = 0\ \text{m/s}$, acceleration $a = -g = -9.8\ \text{m/s}^2$

Step2: Select kinematic equation

Use $v^2 = v_0^2 + 2ah$, solve for $h$:
$h = \frac{v^2 - v_0^2}{2a}$

Step3: Substitute values into formula

$h = \frac{0^2 - (5.0)^2}{2\times(-9.8)}$

Step4: Calculate final height

$h = \frac{-25}{-19.6} \approx 1.28\ \text{m}$

Answer:

The maximum height the ball rises is approximately $\boldsymbol{1.3\ \text{m}}$ (or $\boldsymbol{1.28\ \text{m}}$ for more precision)