Respuesta :
consider the motion of the marble in vertical direction or Y-direction :
Y = vertical displacement as the marble rolls from tabletop to floor = height of table = - 1 m (negative since the displacement is in down direction)
g = acceleration due to gravity = - 9.8 m/s²
t = time taken to travel from tabletop to bottom = ?
v₀ = initial velocity in vertical direction = 0 m/s
using the kinematics equation
Y = v₀ t + (0.5) a t²
- 1 = (0) t + (0.5) (- 9.8) t²
t = 0.45 sec
consider the motion of the marble in horizontal direction or X-direction :
X = horizontal displacement as the marble rolls from tabletop to floor = height of table = 0.54 m
a = acceleration in horizontal direction = 0 m/s²
t = time taken to travel from tabletop to bottom = 0.45 sec
v = initial velocity in horizontal direction = ?
using the kinematics equation
X = v t + (0.5) a t²
0.54 = v (0.45) + (0.5) (0.45) t²
v = 1.2 m/s
