A hot air balloon is ascending vertically at a speed of 19.6 m second raise to the power minus 1 when it is at a height of 156.8 m above the ground at tennis ball is dropped how long will the tennis ball take to reach the ground
To find how long the tennis ball will take to reach the ground, we need to determine the time it takes for the ball to fall from a height of 156.8 m.
We can use the formula:
h = (1/2) * g * t^2
Where:
h = height (156.8 m)
g = acceleration due to gravity (9.8 m/s^2)
t = time
Rearranging the formula to solve for t:
t^2 = (2 * h) / g
Plugging in the given values:
t^2 = (2 * 156.8) / 9.8
t^2 = 31.36 / 9.8
t^2 = 3.20408163265
Taking the square root of both sides:
t ā ā3.20408163265
t ā 1.79 seconds
Therefore, the tennis ball will take approximately 1.79 seconds to reach the ground.