A ball rolls off a horizontal table at 0.45 m / s and strikes the ground 0.19 m

Question

A ball rolls off a horizontal table at 0.45m/s  and strikes the ground 0.19m  horizontally from the base of the table.
How high is the table?
If another ball rolls off the same table at 0.61m/s , how far from the base of the table does it hit?

A ball rolls off a horizontal table at 0.45m/s  and strikes the ground 0.19m  horizontally from the base of the table.
How high is the table?
If another ball rolls off the same table at 0.61m/s , how far from the base of the table does it hit?

How high is the table?
If another ball rolls off the same table at 0.61m/s , how far from the base of the table does it hit?
If another ball rolls off the same table at 0.61m/s , how far from the base of the table does it hit?

Explanation / Answer

Part A)

Apply d = vt in the horizontal

.19 = (.45)(t)

t = .422 s

In the vertical

d = vot + .5at^2

d = (0) + (.5)(9.8)(.422)^2

d = .874 m

Part B)
d = vt

d = (.61)(.422) = .258 m

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