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.
Answer:
<h2>
351.88 m</h2>
Step-by-step explanation:
Given,
D = diameter of semicircular part = 42 m
L = Length of straight part = 110 m
Now, let's find the perimeter:
= 2 ( length of semi-circle + length of straight part )
Plug the values
Calculate the product
Divide
Calculate the sum
Calculate
Hope this helps..
Best regards!!
Answer:
Step-by-step explanation:
Given:
Required:
f(g(x))=?
Solution:
let f(g(x))=f(X), where X=g(x)
so 
put X=
, we get
The height could be 2 and the width 10 or the height could be 10 and the width could be 2.
