Answer:
t = 0.306 s
Step-by-step explanation:
Given that,
Initial velocity of the ball, u = 3 m/s
When it reaches the top of its path, its final velocity, v = 0
We need to find the time it takes the ball to reach the top of its path. It can be calculated using first equation of motion.
v = u +at
Here, a = -g
![0=u-gt\\\\t=(u)/(g)\\\\t=(3\ m/s)/(9.8\ m/s^2)\\\\t=0.306\ s](https://img.qammunity.org/2021/formulas/physics/high-school/bksk203v8yy105a8x8znprggk7l0hl4t4n.png)
So, the ball will take 0.306 s to reach the top of its path.