Question

Charlize wants to measure the depth of an empty well. She drops a ball into the well and measures howlong it takes the ball to hit the bottom of the well. She uses a stopwatch, starting when she lets go of the ball and ending when she hears the ball hit the bottom of the well. The polynomial h = —16t2 + 6 represents how far the ball has fallen after t seconds. (Answer both)

Answer 1

4) The ball has fallen 10 units after 1 second

5) The depth of the will is 157.84 units

Explanation:

We have

h = -16t² + 6

4) t = 1

h = -16(1²) + 6

= -16 + 6

= - 10

The ball has fallen 10 units down after 1 second

5) t = 3.2 seconds

h = -16(3.2²) + 6

= -16(10.24) + 6

= -163.84 + 6

= -157.84

The depth of the will is 157.84 units