Answer: 2.04 seconds
Step-by-step explanation:
Final velocity (v) = Initial velocity (u) + (acceleration due to gravity (g) * time (t))
0 m/s = 10 m/s - g * t
Now, solve for t:
t = 10 m/s / g
where g is the acceleration due to gravity, approximately 9.81 m/s².
t ≈ 10 m/s / 9.81 m/s² ≈ 1.02 seconds
So, it takes about 1.02 seconds for the ball to reach its highest point. Now, to find the total time it takes for the ball to reach the ground, we can double this time because the ball will take the same amount of time to come back down:
Total time to reach the ground = 2 * 1.02 seconds ≈ 2.04 seconds.
Therefore, it will take approximately 2.04 seconds for the ball to reach the ground.