marble with speed 35 cm/s rolls off the edge of a table 75 cm high. how long does it take to drop to the floor?

1 answer

We can use the formula:

h = 0.5 * g * t^2

where h is the distance fallen (75 cm in this case), g is the acceleration due to gravity (9.8 m/s^2 or 980 cm/s^2), and t is the time taken to fall.

Rearranging the formula, we get:

t = square root(2h / g)

Substituting the values, we get:

t = square root(2 * 75 / 980) = square root(0.153)

Therefore, the time taken for the marble to fall to the floor is:

t = 0.391 seconds (rounded to three decimal places)