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

Answer 1

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 ≈ √3.20408163265
t ≈ 1.79 seconds

Therefore, the tennis ball will take approximately 1.79 seconds to reach the ground.