A football is kicked stright up into the air it hits the ground in 4.6 sec later, what was the greatest height reached?
So it took 4.6/2 to fall?
h=1/2 gt^2
To find the greatest height reached by the football, we can use the equation of motion for an object in free fall. The equation is:
h = (1/2) * g * t^2
where:
h is the height
g is the acceleration due to gravity (approximately 9.8 m/s^2)
t is the time
Since the football is kicked straight up, it takes the same amount of time to reach its highest point as it does to fall back down to the ground.
Given that the total time is 4.6 seconds, we divide it in half to get the time taken to reach the maximum height. Therefore, t = 4.6 / 2 = 2.3 seconds.
Now we can plug the values into the equation to calculate the greatest height:
h = (1/2) * 9.8 * (2.3)^2
h = 11.27 meters
Therefore, the greatest height reached by the football is approximately 11.27 meters.