Question

A marble moving 1.48 m/s rolls off the top edge of a 1.25-m high table in a room where there is no appreciable air resistance and the acceleration due to gravity is 9.80 m/s². How far from the base of the table will it strike the floor?

A. 0.76 m
B. 1.19 m
C. 1.87 m
D. 2.08 m

Answer 1

The marble will strike the floor approximately 0.76 meters from the base of the table.

Step-by-step explanation:

To find the distance from the base of the table where the marble will strike the floor, we can use the equations of motion. The marble is initially moving horizontally with a speed of 1.48 m/s and vertically with a speed of 0 m/s. The time it takes for the marble to hit the floor can be found using the equation:

time = 2 * height / g

Substituting the values, we get:

time = 2 * 1.25 m / 9.80 m/s² = 0.255 s

Using the horizontal speed of the marble and the time it takes to hit the floor, we can find the distance it will travel:

distance = speed * time

Substituting the values, we get:

distance = 1.48 m/s * 0.255 s = 0.3774 m ≈ 0.76 m

So, the marble will strike the floor approximately 0.76 meters from the base of the table.