Q:

The table represents the height of a ball that is dropped, h(t), after t seconds. A 2-column table with 6 rows. The first column is labeled x with entries 0, 1, 2, 3, 4, 5, 6. The second column is labeled h(t) with entries 150, 145.1, 130.4, 105.9, 71.6, 27.5, negative 26.4. Determine the initial height of the ball and the time interval before the ball hits the ground. initial height = 0; hits the ground between 5 and 6 seconds initial height = 150; hits the ground between 5 and 6 seconds initial height = 0; hits the ground between 3 and 4 seconds initial height = 150; hits the ground between 4 and 5 seconds

Accepted Solution

A:
Answer:initial height = 150; hits the ground between 5 and 6Step-by-step explanation:The table represents the height of a ball that is dropped, h(t), after t seconds.The first column is labeled x with entries 0, 1, 2, 3, 4, 5, 6. The second column is labeled h(t) with entries 150, 145.1, 130.4, 105.9, 71.6, 27.5, negative 26.4. The table is shown belowx (seconds h(t)0. 1501. 145.12. 130.43. 105.94. 71.65. 27.56. -26.4From the table, At time if 3 seconds, the ball has not moved. So the initial height is 150.As the ball was dropped, it started moving and the height kept on reducing from 150 to -26.4 with increasing time.Between 5 and 6 seconds, the ball hits the ground and probably dug went beyond the surface of the ground hence, the negative value