The Figure Given Alongside Shows the Path of a Diver, When She Takes a Jump From the Diving Board. What is the Value of K? - Bzziii.com

admin سبتمبر 26, 2021
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?

(a) 0

(b) - 48

(c) 48

(d) 48/-16



(c) 48


Explanation:

at t=0, Annie’s height is 48ft


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

Puttint t=0 h (t) =48 feet

= h (t) = `-16t^{2}` + 8t + k
= 48 = `-160^{2}` + (8 `\times` 0) + k
= 48 = 0 + 0 + k
= 48 = k


∴ The value of k = 48.





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