Answer:
-24.8 m/s
Step-by-step explanation:
Given:
y₀ = 60 m
y = 40 m
v₀ = 15 m/s
a = -9.8 m/s²
Find: v
There are three constant acceleration equations we can use:
y = y₀ + v₀ t + ½ at²
v = at + v₀
v² = v₀² + 2a(y − y₀)
We aren't given the time, so we need to use the third equation, which is independent of time:
v² = v₀² + 2a(y − y₀)
Plug in the values:
v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)
v² = 617 m²/s²
v ≈ ±24.8 m/s
Since the coin is on the way down, the velocity is negative. So v = -24.8 m/s.
Answer:
√13
Step-by-step explanation:
To get the side a, we will use the cosine rule as shown;
a² = b²+c²-2bcCosθ
Substitute the given values
a² = 5²+(3√2)²-2(5)(3√2)Cos45
a² = 25+18-30√2*1/√2
a² = 25+18-30
a² = 13
a = √13
Hence the value of a is √13
Answer:
19
Step-by-step explanation:
The square represents a right angle, 90 degrees, so all you do is subtract the 22 from 90. which is 68. 68 then is subtracted by 11, and you're left with 57. You then divide 57 by 3, because you have 3 x and you want to find x. And you get 19
Answer:
13x=13
Step-by-step explanation:
...............
Answer:
x = 29
Step-by-step explanation:
Added together equals to 180 degrees. Write out the equation:
x + 35 + 4x = 180
5x + 35 = 180 (Add the x together)
5x = 145 (Minus both sides by 35)
x = 29