Kayla tosses a water balloon upward out of a window. Its height in meters is given by the equation: h = -4.9(t - 1)^2 + 6.5

Question

a. What do you think t represents in the equation?

b. How high does the balloon go?

c. How long before the balloon hits the ground?

d. At what height does Kay;a release the balloon?

e. When will the balloon's height be 3.5 meters?

Answer 1

A. Time elapsed since the balloon was thrown.

B. 6.5 meters above ground

C. 6.5 -4.9 = 0.6 meters above ground [ -4.9 is the constant when you expand -4.9(t-1)² ]

D. Using the quadratic formula, the approximate values are:

t = 0.217539 seconds

and

t= 1.78246 seconds