A small ball rolls horizontally off the edge of a tabletop that is 1.19 m high.

Question

A small ball rolls horizontally off the edge of a tabletop that is 1.19 m high. It strikes the floor at a point 1.90 m horizontally away from the edge of the table. (a) How long is the ball in the air? (b) What is its speed at the instant it leaves the table? A small ball rolls horizontally off the edge of a tabletop that is 1.19 m high. It strikes the floor at a point 1.90 m horizontally away from the edge of the table. (a) How long is the ball in the air? (b) What is its speed at the instant it leaves the table?

Explanation / Answer

aking the vertical component of the motion and setting the initial velocity equal to zero we get:

s=1/2gt^2

t=sqrt(2s/g)=.493

(b).

The horizontal component of velocity is constant so:

v=s/t=1.9/0.493=3.85m/s

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