Awnser : 45
Explanation : 10(0) + 45 -> 0 + 45 = 45
Lateral area= [perimeter] height
L=[2L+2W]h
L=2[l+w]h
L=2[12+8]2
L=80 so lateral surface is 80 so i am gonna find total surface area
Ts=ph+2b
Ts=80+2[2]
Ts=80+4
Ts=84
vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.
Givens
vi = 160 ft/s
vf = 0 (the rocket stops at the maximum height.)
a = - 9.81 m/s
t = ????
Remark
YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.
Equation
a = (vf - vi)/t
Solve
- 32 = (0 - 160)/t Multiply both sides by t
-32 * t = - 160 Divide by -32
t = - 160/-32
t = 5
You will also need to solve for the height to answer part B
t = 5
vi = 160 m/s
a = - 32
d = ???
d = vi*t + 1/2 a t^2
d = 160*5 + 1/2 * - 32 * 5^2
d = 800 - 400
d = 400 feet
Part B
You are at the maximum height. vi is 0 this time because you are starting to descend.
vi = 0
a = 32 m/s^2
d = 400 feet
t = ??
formula
d = vi*t + 1/2 a t^2
400 = 0 + 1/2 * 32 * t^2
400 = 16 * t^2
400/16 = t^2
t^2 = 25
t = 5 sec
The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.
Divide 7/8 cup by 1/6 cup.
Write 7/8. Then invert 1/6 and multiply the result:
7 6
-- * --- = 42/8 = 5 2/8 = 5 1/4. She can make her recipe 5 times and have a bit of cheese left over.
8 1
Answer:
on C
Step-by-step explanation: