Question

. A pool ball leaves a table with an initial horizontal velocity of 2.4 m/s. The pool ball touches the floor after 0.4 s. a. What is the height of the pool table?

Answer 1

The height of the pool table is calculated using the time it takes for the ball to fall and the acceleration due to gravity, resulting in a height of 0.784 meters.

Step-by-step explanation:

To find out the height of the pool table from which the pool ball was launched, we can use the kinematic equations for uniformly accelerated motion. Since only the vertical component of the motion is affected by gravity and the horizontal velocity is constant, we can focus on the vertical displacement.

The formula h = 0.5gt2 gives the height h when an object is in free fall for a time t, where g is the acceleration due to gravity (9.8 m/s2).

Given that the time of fall (t) is 0.4 s, we can calculate the height (h) of the pool table as follows:

1. h = 0.5 × g × t2
2. h = 0.5 × 9.8 m/s2 × (0.4 s)2
3. h = 0.5 × 9.8 × 0.16
4. h = 0.784 m

Therefore, the height of the pool table is 0.784 meters.