Question

A marble is rolling across a table at a velocity of 1.2 m/s and rolls of the edge that is located 0.88 m above the floor. How far from the edge of the table at floor level will the will the marble land

Answer 1

0.51 m

Step-by-step explanation:

First find the time it takes to land. Given in the -y (down) direction:

s = 0.88 m

u = 0 m/s

a = 9.8 m/s²

Find: t

s = ut + ½ at²

0.88 = (0) t + ½ (9.8) t²

t = 0.424 s

Next, find the horizontal displacement. Given in the +x direction:

u = 1.2 m/s

a = 0 m/s²

t = 0.424 s

Find: s

s = ut + ½ at²

s = (1.2) (0.424) + ½ (0) (0.424)²

s = 0.51 m