Answer:
Explanation:
A. h = -2(1)² + 7(1) + 4 = 9 ft
B. use the quadratic formula to find the 2 solutions to t when
y = f(t) = -2t² + 7t + 4 = 0 a=-2, b=7, c=4
the 2 solutions for t are: -1/2, 4
halfway between t=-1/2 and t=4 is: (-1/2 + 4) /2 = 1.75 (vertex of the parabola)
so, at t = 1.75 s, the toy is at its max. height:
h = -2(1.75)² + 7(1.75) + 4 = 10.125 ft
C. Toy is in the air for 4 sec
The answer is 4 s because f(4) = 0, meaning the toy hits the ground after 4 sec