120,522 views
37 votes
37 votes
A child drops a ball from a window that is 24 feet high. The ball strikes the ground in 3.0 seconds. What is the velocity of the ball the instant before it hits the ground?

User Vpuente
by
3.1k points

1 Answer

27 votes
27 votes

Answer:

The velocity of the ball the instant before it strikes the ground is 30m/s

Given the data in the question

Since the ball was initial at rest before it was dropped by the child

Initial velocity;

Time taken for the ball to hit the ground;

Final Velocity;

To find the velocity of the ball the instant before it hits the ground

We use the First Equation of Motion:

Where v is the final velocity, u is the initial velocity, t is time and a is the acceleration.

Now, since the ball was thrown from a particular height (window), it is under gravity and acceleration due to gravity;

Hence, the equation becomes;

We substitute our values into the equation

Therefore, the velocity of the ball the instant before it strikes the ground is 30m/s.

Explanation:

User Atif
by
2.5k points