Table tennis the path of a table-tennis ball after being hit and hitting the surface of the table can be modeled by the function h=-4.9t (t-0.42) where h is the height in meters above the table and t is the time in seconds. how long does it take the ball to hit the table?

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Physics

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26 June, 02:54

Table tennis the path of a table-tennis ball after being hit and hitting the surface of the table can be modeled by the function h=-4.9t (t-0.42) where h is the height in meters above the table and t is the time in seconds. how long does it take the ball to hit the table?

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We are given the equation:

h = - 4.9 t (t - 0.42)

In this problem, to solve for the time when the ball hit the table, the height h must be equal to zero. That is, h = 0 so that:

0 = - 4.9 t (t - 0.42)

0 = (t - 0.42)

t = 0.42 seconds