Answer:
see below
Step-by-step explanation:
h=−4.9t^2 +39.2t
When will if fall back to the ground
When will h=0
0 =−4.9t^2 +39.2t
Factor out a -t
0 = -t (4.9t -39.2)
Using the zero product property
-t =0 4.9t - 39.2 =0
t =0 4.9t = 39.2
t =39.2 /4.9
t =8
It will reach the ground again at 8 seconds
The maximum height is halfway between the zeros
(0+8)/2 = 4
It will reach the max height at 4 seconds, substituting this in to find the max height
h=−4.9 (4)^2 +39.2(4)
h = 78.4 meters
This will only be applicable between t=0 and t=8 seconds
0≤t≤8 seconds
