Sure, we can find this using the principles of motion under gravity.
The motion of the tennis ball can be analyzed using the equation of motion: final_speed = initial_speed - gravity * time.
When the ball reaches maximum height, its final speed becomes zero. We can substitute this into the equation and solve for the time it takes to reach the maximum height.
So, according to the formula, we have
0 = initial_speed - gravity * time
This allows us to solve for time; rearranging the equation yields:
time = initial_speed / gravity
The given initial speed of the ball as it's released is 6.2 m/s and acceleration due to gravity is 9.8 m/s².
Substituting these values into the equation, we get
time = 6.2 m/s ÷ 9.8 m/s²
After doing the calculation, we find that it takes approximately 0.63 seconds for the tennis ball to reach its maximum height.