Question

What is the value of k? (a) 0 (b) - 48 (c) 48 (d) 48/-16​

Answer 1

Answer:

48

Step-by-step explanation:

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Answer 2

Given:

(Note: the complete question is given as follows-)

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,

$\[h\left( t \right) = 16{t^2} + 8t + k\]$

Refer the image given below,

What is the value of k? (a) 0 (b) - 48 (c) 48 (d) 48/-16

Solution:

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

Therefore, at $t =0$, h should be equal to,

$\[h\left( 0 \right) = - 16{\left( 0 \right)^2} + 8\left( 0 \right) + k = 48\]$

So, that  $k = 48$ .

Hence, the required value of $k$ is 48.