Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
Answer:
4/5
Step-by-step explanation:
x2-x1/y2-y1
-2-2=-4
-1-4=-5
-4/-5
Simplify
4/5
The slope is 4/5
Answer:
7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations.
<u>Parenthesis</u>
<u>Exponents</u>
<u>Multiplication>Division (Depends on which comes first from left to right)</u>
<u>Addition>Subtraction (See Multiplication>Division)</u>
So First, lets solve the <u>Parenthesis</u>. -2/5=-.4
So now, our equation is -3/-.4
There is no exponents or multiplication, so lets just <u>Divide</u>.
-3/-.4=7.5
The solution is 7.5
Hope this helps!
Answer:
12:45 pm
Step-by-step explanation:
First we find out the amount of time it takes to drive 90 miles at 60 mph.
speed = distance/time
time * speed = distance
time = distance/speed
time = 90 miles / 60 mph
time = 1.5 hour = 90 minutes
It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.
To get there at 2:00 pm, he should have left at 12:30 pm.
He got there 15 minutes late, so he must have left 15 minutes late.
He left at 12:45 pm.
Answer: 12:45 pm
Answer:
Here you go :)
Step-by-step explanation: