The last answer is 1.5s and 56ft plz plz

The ball takes 1.5 seconds to reach its maximum height

The ball's maximum height is 44 feet

Solution:

Given that,

The height in feet after t seconds is given by the function:

Let us first find the derivative of h(t)

Differentiate the given function with respect to t

At the maximum height the derivative of the function needs to be 0

Thus the ball takes 1.5 seconds to reach its maximum height

Substitute t = 1.5 in given function

Thus ball's maximum height is 44 feet

b. x- 48 =120

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)