#1**+3 **

a) t is the time elapsed since the egg was dropped

b) h(t) is the height at some time, t

c) When it hits the ground, h(t) = 0

So....we can solve this

-16t^2 + 50 = 0

-16t^2 = -50 divide both sides by -2

8t^2 = 25 divide both sides by 8

t^2 = 25/8 take the square root

t = √[25/8] ≈ 1.77 sec

(d) At 1 sec the height is -16(1)^2 + 50 = 34 ft

At 1.5 sec the height is -16(1.5)^2 + 50 = 14 ft

So....it falls 34 -14 = 20 feet in this time interval

CPhill Feb 21, 2019