Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of points A, C and D are,
A(-2, -7), C(-6, 7) and D(9, 2)
Slope of AD =
=
=
Slope of CD =
=
Slope of AC =
=
=
She earns $250 per week for the next twelve weeks, so
250x12=3000
Plus she's given a $500 hiring bonus:
If: 250 x 12 = 3000
Add: 3000 + 500 = 3500
3500 is the answer.
Answer:
10:50
Step-by-step explanation:
The derivative of height with respect to time is
h'(t) = -32t +v
This will be zero when
0 = -32t +v
t = v/32
The height at this time is
h(v/32) = -16(v/32)² + v(v/32) = (v²)(-1/(2·32) +1/32) = v²/64
Setting this to 400, we get
400 = v²/64
v = √(64·400) = 160
The initial velocity required so that the maximum height is exactly 400 feet is
160 ft/s.