Question

a student drops a ball from a height of 88.0m. if the ball remains in the air for 4.24s, determine all unknowns and answer the following question. assume the balls speed changes steadily.
$v_0$ = 0 m/s
$overline{v}$ = m/s
$v_f$ = -41.5 m/s
$delta y$ = -88 m
$t$ = 4.24 s
what was the balls speed just before striking the ground?
41.5 m/s

Explanation:

Step1: Define average velocity formula

$\bar{v} = \frac{v_0 + v_f}{2}$

Step2: Substitute known values

$\bar{v} = \frac{0 + (-41.5)}{2}$

Step3: Calculate average velocity

$\bar{v} = -20.75$

Step4: Identify impact speed

Speed is the magnitude of $v_f$.

Answer:

• $\bar{v} = -20.75$ m/s
• Ball's speed just before striking the ground: 41.5 m/s