Question

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of$8.00m/s$at an angle ofbelow the horizontal. It strikes the ground$3.00s$later.

(a) How far horizontally from the base of the building does the ball strike the ground?

(b) Find the height from which the ball was thrown.

(c) How long does it take the ball to reach a point$10.0m$below the level of launching?

Short answer

The answers are reduced in the following steps.

Step-by-step solution

Given data

Taking downward to be the positive ydirection

Resolving velocity into x and y components:

Newton’s Laws of motion 

Newton's first law states that an item will not modify its motion until a force is applied to it. The force on an item is equal to its mass times its acceleration, according to the second law. When two things contact, the third law states that they apply forces of equal magnitude and opposing direction to each other.

Evaluating part (a)

To find the horizontal position of the ball, use the following formula:

Step 4: Evaluating part (b)

To find the vertical position of the ball, use the following formula:

Step 5: Evaluating part (c)

To find the time it takes the ball to reach $y_f=10m$, use the following formula:

Rearranging,

Final answer