Question

$- 16 {t}^{2} + 8t + k$
Find the Value of k​

Answer 1

Answer:

SOLUTION

GIVEN

Annie was standing on a diving board 48 feet above the water level

She took a dive into the pool . Her height in feet in water level at any time t sec is given by the polynomial

h(t) = - 16t² + 8t + k

TO DETERMINE

The value of k.

The time will she touch the water in the pool

EVALUATION

Here the given polynomial is

h(t) = - 16t² + 8t + k

ANSWER TO QUESTION : 1

By the given condition h(0) = 48

Again h(0) = - 16 × 0² + 8 × 0 + k

⇒ 48 = k

⇒ k = 48

Hence the required value of k = 48

ANSWER TO QUESTION : 2

We have to find the value of t where h(t) = 0

Now the given polynomial is

h(t) = - 16t² + 8t + 48

Now h(t) = 0

⇒- 16t² + 8t + 48 = 0

⇒ 2t² - t - 6 = 0

⇒ 2t² - 4t + 3t - 6 = 0

⇒ ( t - 2 ) ( 2t + 3 ) = 0

t - 2 = 0 gives t = 2

2t + 3 = 0 gives t = - 3/2

Since time can not be negative.

Therefore t = 2.

2. Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.