after being hit by a bat a baseball flew 19.6m straight up into the air. how long will it take the ball take to return from its maximum height
To determine the time it takes for the baseball to return to its maximum height, we can use the kinematic equation for vertical motion:
h = u*t - (1/2) * g * t^2
where h is the height, u is the initial velocity (which is zero when the ball reaches maximum height), g is the acceleration due to gravity (approximately -9.8 m/s^2), and t is time.
Given that the maximum height reached by the baseball is 19.6 m, we can write the equation as:
19.6 = 0*t - (1/2) * (-9.8) * t^2
Now, let's solve this equation to find the time it takes for the ball to return to its maximum height:
9.8 * t^2 = 19.6
t^2 = 19.6 / 9.8
t^2 = 2
t = √2 ≈ 1.414 seconds
Therefore, it will take approximately 1.414 seconds for the baseball to return to its maximum height.