Question

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?

Answer 1

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