To find the height of the tower, we need to use the equation of motion for vertical motion with constant acceleration:
h = u*t + (1/2)*g*t^2
Where:
h = height of the tower
u = initial velocity of the ball (thrown vertically upwards) = 100 m/s
t = time taken for the ball to reach the pond = 25 seconds
g = acceleration due to gravity (approximately 9.8 m/s^2)
Let's substitute the given values into the equation and solve for h:
h = (100 m/s)*(25 s) + (1/2)*(9.8 m/s^2)*(25 s)^2
h = 2500 m + (1/2)*(9.8 m/s^2)*(625 s^2)
h = 2500 m + (1/2)*(9.8 m/s^2)*(625 s^2)
h = 2500 m + 3062.5 m
h = 5562.5 m
Therefore, the height of the tower is approximately 5562.5 meters.
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