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.
1 in 35 or <span>0.03 is the probability</span>
Answer:
300 feet
Step-by-step explanation:
If we were using feet the expression would be 198x, where x is feet per second
Since they are asking in meters we need to convert feet to meters
When you do that you get 60
Now the expression is 60x
When you plug 5 into the equation it is 300
Answer:
10 is your answer
Step-by-step explanation:
√((100 * 2)/2)
Simplify. First, follow the Parenthesis. Combine 100 with 2
100 * 2 = 200
Next, divide by 2
200/2 = 100
Root 100
√100 = √10 * √10 = 10
10 is your answer
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An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.
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20 comic books is the right awnser
