A ball is dropped froma 45 meter bridge.

a.)How long will it take the ball to hit the river below?
b.) What will the velocity be just before landing?

To determine the time it takes for the ball to hit the river below, you can use the formula for the time of freefall:

t = sqrt((2 * h) / g)

where:
t is the time of freefall
h is the height of the bridge (45 meters in this case)
g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)

So, let's substitute the values into the formula:

t = sqrt((2 * 45) / 9.8)

Calculating this expression, we get:

t ≈ sqrt(9.1837)

The square root of 9.1837 is approximately 3.03 seconds. Therefore, it will take approximately 3.03 seconds for the ball to hit the river below.

To determine the velocity of the ball just before landing, you can use the equation for the final velocity in freefall:

v = g * t

where:
v is the velocity
g is the acceleration due to gravity (still approximately 9.8 m/s²)
t is the time of freefall (3.03 seconds in this case)

Substituting the values into the equation:

v = 9.8 * 3.03

Calculating this expression, we get:

v ≈ 29.75 m/s

Therefore, the velocity of the ball just before landing is approximately 29.75 m/s.