Question

A ball is dropped from a height of 100 m. How long does it take for the ball to hit the ground? At what velocity will it hit the grounds?

Answer 1

The ball takes approximately 4.04 seconds to hit the ground and hits the ground with a velocity of approximately 39.79 m/s.

Step-by-step explanation:

To find the time it takes for the ball to hit the ground, we can use the equation:

h = 0.5 * g * t^2

Where h is the height of the building (100 m), g is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes for the ball to hit the ground. Rearranging the equation, we get:

t = sqrt(2h/g) = sqrt(2*100/9.8) = 4.04 seconds

So the ball takes approximately 4.04 seconds to hit the ground.

To find the velocity at which the ball hits the ground, we can use the equation:

v = g * t

Where v is the velocity, g is the acceleration due to gravity, and t is the time it takes for the ball to hit the ground. Substituting the values, we get:

v = 9.8 * 4.04 = 39.79 m/s

So the ball hits the ground with a velocity of approximately 39.79 m/s.