A ball rolls horizontally off the edge of a table at 2 m/s. if the ball is 1 m t

Question

A ball rolls horizontally off the edge of a table at 2 m/s. if the ball is 1 m tall, how far from the base of the table will the ball land? A. 0.2 m B. 0.4 m C. 0.9 m D. 2 m A ball rolls horizontally off the edge of a table at 2 m/s. if the ball is 1 m tall, how far from the base of the table will the ball land? A. 0.2 m B. 0.4 m C. 0.9 m D. 2 m A ball rolls horizontally off the edge of a table at 2 m/s. if the ball is 1 m tall, how far from the base of the table will the ball land? A. 0.2 m B. 0.4 m C. 0.9 m D. 2 m

Explanation / Answer

Question is:

A ball rolls horizontally off the edge of a table at 2 m/s. if the table is 1 m tall, how far from the base of the table will the ball land?

in vertical direction:

a = -9.8 m/s^2

vi = 0 m/s

d = -1 m

use:

d = vi*t + 0.5*a*t^2

-1 = 0 + 0.5*(-9.8)*t^2

1 = 4.9*t^2

t^2 = 0.2041

t = 0.452 s

In horizontal direction:

v= 2 m/s

t = 0.452 s

use:

distance = v*t

= 2 m/s * 0.452 s

= 0.9 m

Answer: 0.9 m

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