Question

Case Study -1

The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.

Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t² + 8t + k.

What is the value of k?

Options

• 0

• -48

• 48

• `48/-16`

Answer 1

48

Explanation:-

Initially, at t = 0, Annie’s height is 48ft

So, at t = 0, h should be equal to 48

h(0) = -16(0)² + 8(0) + k = 48

So k = 48