Answer:
a) t = 4 secs
b) t = 3 secs
Step-by-step explanation:
h = 64 ft
Initial velocity = 48 ft/s
S = 64 + 48t - 16t^2
a) Set S = 0 and solve for t
0 = 64 + 48t - 16t^2
Divide through by 16
0 = 4 + 3t - t^2
t^2 - 3t - 4 = 0
t^2 - 4t + t - 4 = 0
t(t - 4) + 1(t - 4) = 0
(t + 1) (t - 4) = 0
t + 1 = 0 or t - 4 = 0
t = -1 or t = 4
t = {-1,4}
t = 4 seconds
b) Set S = 64 and solve for t
64 = 64 + 48t - 16t^2
64 - 64 = 48t - 16t^2
0 = 48t - 16t^2
Divide through by 16
0 = 3t - t^2
t^2 - 3t = 0
t(t - 3) = 0
t = 0 or t-3 = 0
t = 0 or t = 3
t = {0,3}
t = 3 secs
Answer:
342in
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
You were right about C, so there's no need to worry about it
Answer:
Length = 45/4 inches
Width= 15/4 inches
Step-by-step explanation:
Perimeter= 30 inches
Let width = x
Length = 3x
Perimeter = 2l + 2w
30= 2(3x) + 2(x)
30 = 2(3x+x)
30/2 = 3x+x
15 = 4x
x= 15/4
Hence width is 15/4
Then the length must be 3x = 3(15/4)
THEREFORE, Length = 45/4 inches
Width= 15/4 inches
Hope this helps!