Question

Help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!

Answer 1

Solutions below.

Explanation:

This Question involves the concept of Function Substitution.

Function Substitution

Function Substitution - As the name suggests, it is about substituting an input value (normally x) to find the value of y , or f(x) which is the range of the value.

Example: f(x) = 98x , f(2) = 98(2) = 196

Application

We are given the following function:

`p(t) = - 16 {t}^(2) + 1638`

a) This part is asking us to find the height of the object when t = 2, which is the same as finding the value of P(2).

P(2) =

`- 16 {(2)}^(2) + 1638 \\ = - 64 + 1638 \\ = 1574`

Therefore at t = 2 seconds, the object is 1,574m above the river.

b) This part is asking us to find the height of the object when t = 6, which is the same as finding the value of P(6).

P(6) =

`- 16 {(6)}^(2) + 1638 \\ = - 16(36) + 1638 \\ = - 576 + 1638 \\ = 1062`

Therefore at t = 6 seconds, the object is 1,062m above the river.