An object moves according to the distance (s) in feet, time (tin seconds equation: s(t) = - 4t ^ 2 + 237t + 744
Find the time to reach maximum height . Find the maximum height .

Step-by-step explanation:

The max is a point with coordinates (-b/2a, s(-b/2a))

s(t) = - 4t ² + 237t + 744

-b/2a = -237 /2*(-4)= 237 / 8 ≈29.625

s(237/8) =  -4(237/8)² +237*237/8 +744

              = -(237²/ 16 ) +(237²/8 ) +744

              ≈4254.563

The time when the maximum height is reached  is t ≈ 29.625 seconds

The maximum hight is at s(t) ≅4,254.563 feet

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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