Henry is diving off a diving board that is 7 above the water. After 2 seconds, he reaches his maximum

height of 9 above the water. What height will Henry be after 5 seconds?
(please post the solution as well)

44 m

Step-by-step explanation:

I'll assume the 5 seconds is from the time he jumped off the board.

This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.

we use Newton's equation of motion.

We are given

initial velocity U at the height of 9 m = 0 m/s

acceleration due to gravity downwards g  = 9.81

distance covered S = ?

time of fall t = 3 seconds

we use S = Ut + g

S = (0 x 3) + (9.81 x )

S = 0 + 44.145

S = 44 m

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.