Answer:
0.69 s
Explanation:
The tennis ball moves upward with constant acceleration of
g = 9.8 m/s^2
in the downward direction. Therefore, the velocity of the ball at time t is given by
v(t) = u - gt
where
u = 6.8 m/s is the initial velocity
g is the acceleration of gravity
t is the time
At the top of the trajectory, the ball has velocity
v = 0
Solving the formula for t, we find the time taken for the ball to reach the top:
[tex]t=\frac{v-u}{-g}=\frac{0-6.8}{-9.8}=0.69 s[/tex]