Answer:
x = 28.07°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle given = x°
Opposite = 8
Hypotenuse = 17
Apply SOH:
Substitute
x = 28.07° (nearest hundredth)
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: G
Step-by-step explanation: the rate of change is constant, making it a proportional relationship
Answer:
Ok soo.
Step-by-step explanation:
sum of two adjacent angles of parallelogram is 180
so angle K + angle L = 180
as AK bisects angle K and LA bisects angle L
so, angle AKL + angle ALK = 180 /2 = 90
in triangle AKL,
angle AKL + angle ALK+angle KAL = 180(sum of all angles in triangle = 180)
so, from above two equations,
angle KAL = 90
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Answer:
B
Step-by-step explanation:
The ratio of the larger figure to the smaller figure is simplfying 30/12 to 5/2
Honest the 7/4 is just an educated guess because...yeah
