Free brainlst! please help

if a projectile is fired straight upward from the ground with an initial speed of 32 feet per second, then its height h in feet after t seconds is given by the function h(t)= -16t^2 + 160t. Find the maximum height of the projectile?

400 ft

Step-by-step explanation:

h(t)= -16t^2 + 160t

The vertex is found at

h = -b/2a  where b is the coefficient of t and a is the coefficient of t^2

   = -160/(2*-16)

   -160/-32

  5

The time where the maximum occurs is at t=5

To find the maximum substitute into the function

h(5) = -16 (5)^2 +160*5

       = -16*25 +800

       =-400+800

       = 400

The maximum height is 400 ft

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this