Answer:
t = 0.306 s
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
[tex]0=u-gt\\\\t=\dfrac{u}{g}\\\\t=\dfrac{3\ m/s}{9.8\ m/s^2}\\\\t=0.306\ s[/tex]
So, the ball will take 0.306 s to reach the top of its path.