Initial velocity = 63m/s
Final velocity = 75m/s
Time taken = 4.2
We have to find acceleration of car[tex].[/tex]
_________________________________
◈ Acceleration is defined as the rate of change of speed.
a = (v - u) / tIt is a vector quantity having both magnitude as well as direction.
SI unit : m/s²
⇒ a = (v - u) / t
⇒ a = (75 - 63) / 4.2
⇒ a = 12/4.2
⇒ a = 2.85 m/s²The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 seconds. What was the car's acceleration?
Answer:[tex] \rm\red {Given:} [/tex]
u ( initial velocity ) = 63m/sv ( final velocity ) = 75m/st ( time taken ) = 4.2s[tex] \rm\red {To \: find:} [/tex]
a ( acceleration ) =?[tex] \rm\red {Calculation:} [/tex]
We know that,
[tex] {\huge {\boxed {\tt { a = \dfrac{v-u} {t}}}}} [/tex]
Substituting values-
[tex] \sf { \qquad \leadsto a = \dfrac{75-63}{4.2}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{12}{4.2}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{\cancel {12} {} ^{\: \: 6} \times 10}{\cancel {42} {} ^{\: \: 21} }} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{\cancel6 {} ^{\: \: \: 2}\times 10 }{\cancel {21} {} ^{\: \: 7}}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{2 \times 10}{7}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{20}{7} = 2.85} [/tex]
[tex] \therefore [/tex] Acceleration of the car was [tex] \sf { 2.8m/{s} ^{2}} [/tex]
_________________________________A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?
Answer: they would be moving 15m/s
Step-by-step explanation:
10m/s times 150kg= 1500divided by 100kg=15m/s
4. A mistake was made when solving the problem below.
Line 1: 2022+6
Line 2: 204 + 6
Line 3: 80 + 6
Line 4: 86
The mistake was made in Line
Answer:
Wdym
Step-by-step explanation:
wdym
A) A plane takes off at 50 feet below sea level and climbs 1,542 feet. At what altitude is the plant currently flying?
B) How much higher does the plane have to climb to reach 3,400 feet?
Make sure you answer both parts of the question and label each part of the question.
Answer:
A) 1,492
B) 1,908
Step-by-step explanation:
A) The equation set up for this part is 1,542-50=1,492 We know that we're subtracting 50 from 1,542 because it say that the plane starts below sea level.
B) The equation set up for this part is 3,400-1,492=1,908 We know that we're subtracting the answer from part A from 3,400 because the plane will need to climb the difference in order to reach 3,400.
Help me plzz!!!!!!!!!!!!!!!
Point M is the midpoint of line AB. If M is at (6,-2) and A is at (-3,0), what are the coordinates of endpoint b?
Answer:
Step-by-step explanation:
(x + 6)/2 = -3
x + 6 = -6
x = -12
(y - 2)/2 = 0
y - 2 = 0
y = 2
(-12, 2)
Math equations that equal 31
Brooklyn bought 9 chicken wings for $12. What was the cost of the wings in wings per dollar?
Answer:
3/4 wings per dollar
Step-by-step explanation:
We want to find wings per dollar
9 wings/ 12 dollars
Divide top and bottom by 3
3/4 wings per dollar
a brunette Hall is preparing to serve a party of 432 guests if each table seats 8 people how many tables are needed
Answer:
54
Step-by-step explanation:
432/8=54
6x+2y=12 how do I show my work
what is
5(x+2)=7(4-x)
a.-9
b. 1.5
c 3.2
d. 9
Answer:
c. 3.2
Step-by-step explanation:
5(x+2)=7(4-x)
5(x+2)=7(-x+4)
5x+5*2=-7x+7*4
Whats value of x is in the solution set of 2(3x-1)>4x-6 A.-10 B.-5 C.-3 D-1
Answer:
B. -5
Step-by-step explanation:
3x-1 > 4x-6
+1
3x>4x-5
-4x
-x>-5
/-1 /-1
x>-5
Somebody who knows this plz!!!!
answer it has to be correct :/
(Will mark as brainliest)
Answer:
Answer Below
Step-by-step explanation:
45) 96, 432, and 1092
46) 372 and 9404
47) 4168, 808, 216, and 5608
Answer:
the answer for 45 is 96,432,1092..
the answer for 46 is 378,9404...
the answer for 47 is 4168,808,216,5608..
please mark me as brainliast
Nate withdraws $40 from his checking account each dayWrite and solve a multiplication equation to find how long it will take him to withdraw $680
x = # of days
$40x = $680
Divide each side by $40
x = 17 days
Simplify 4 to the 2nd power ⋅ 4 to the 8th power.
Use exponent rule: x^y * x^z = x^y+z
4^2 * 4^8
4^2+8
4^10
1,048,576
Best of Luck!
I need help...!!!!!please...
Step-by-step explanation:
sorry i am busy i will answer it tomorrow or free time
A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?
Answer:
there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times
Simplify 2(x-4) +3^2
Answer:
Step-by-step explanation:
2x - 8 + 9
2x + 1
Answer:
YOUR ANSWER IS 2x+1
HOPED THAT HELPED☺
Step-by-step explanation:
2(x-4) +3^2
multiply 2 to(x-4)
solve for 3^2
2x-8+9
add -8to9
2x+1
Himari is solving the equation 4(−12)=16 4 x -12 = 16 . Her first step is 4−12=16 4 x - 12 = 16 .
Answer:
Step-by-step explanation:
4(−12)=16
4 x -12 = 16
Himari's solution is incorect.
it should be like shown below.
4 - (−12 ) = 16
4 + 12 = 16
16 = 16
so it equates balance.
Same and Different
18+(-4)=?
-5+(-18)=?
9+(-18)=?
-18+18=
please help me with the answers!!!
thanks
Answer:
Step-by-step explanation:
18+(-4)= 18 - 4 = 14
-5 + (-18) = - 5 - 18 = - 23
9 + (-18) = 9 - 18 = - 9
-18 + 18 = 0
5) Adam bought 5 DVDs that cost $12.95
each. How much did Adam spend
before taxes?
Answer:
$64.75
Step-by-step explanation:
You can add $12.95 five times:
$12.95 +12.95 +12.95 +12.95 +12.95 = spending
but it is probably easier to use multiplication:
5 × $12.95 = spending = $64.75
Adam spent $64.75.
Answer:
64.75
Step-by-step explanation:
So you have 5 DVDs bought and 12.95 for each.
12.95 x 5
12.95 + 12.95 = 25.90
25.90 + 12.95 = 38.85
38.85 + 12.95 = 51.80
51.80 + 12.95 = 64.75
So your answer is $64.75
Pls help me with this question
If f(x) = 5 - 2x, find f(-15)
Answer: 35
Please give me Brainliest
Let g(x)=16-x^2. Compute g(4)-g(-2) over 4-(-2). Interpret your answer in part a.
Find 7% sales tax on an item that costs 5.95
Answer:
I got $0.42
Step-by-step explanation:
2. What are the five components of health and wellness, and how are they defined?
Answer
1. Cardiovascular endurance
2. Muscular strength
3. Muscular endurance
4. Flexibility
5. Body composition
Step-by-step explanation:
In a laboratory, the number of bacteria in a petri dish after t days is modeled by the function B (t) = 300,000/1+999e^-0.5t What does 300,000 represent?
initial number of bacteria in the petri dish
number of bacteria in the petri dish after one day
number of bacteria in the petri dish at any given time
maximum number of the bacteria the petri dish can hold
Answer: D
Step-by-step explanation:
Number at the top is the max
Answer:
maximum number of the bacteria the petri dish can hold
Step-by-step explanation:
dare to solve it so easy ☺️
Answer: 1.23×10¹⁶
Step-by-step explanation:
For this problem, we want to use order of operations to solve.
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Let's first solve the parenthesis.
[tex](9*\frac{999999999}{9+9+9+9+9+9+9+9+9} )^2[/tex] [add denominator]
[tex](9*\frac{999999999}{81} )^2[/tex] [cross multiply]
[tex](\frac{999999999}{9} )^2[/tex] [divide]
[tex](111111111)^2[/tex] [exponent]
1.23×10¹⁶
The ending result is way too large. Therefore, we use scientific notation and get 1.23×10¹⁶.
I need help ASAP please and thank you!!:)
Answer: The mean of the data will decrease.
The median of the data will not change.
The range of the data will decrease.
Answer:
Mean original, (14.3)
Median original, (14.5)
Range original, (25)
After removing 35
Mean: 13.1
Median: 14.5
Range: 7
Step-by-step explanation:
mean- add all numbers together and divide by the amount of numbers there.
median- the middle number.
range- the largest minus the smallest number.
helpppppppp me please:(
333333e33eeeeeebjkbb
the anwers is c
Use the figure below to find the value of y and each angle shown.
5y - 16 + 3y + 20 = 180 degrees
Combine like terms on the left side
8y + 4 = 180
Subtract 4 from both sides.
8y = 176
Divide both sides by 8
y = 22
Plug 22 into y for each angle.
3y + 20 = 3(22) + 20 = 66 + 20 = 86 degrees
5y - 16 = 5(22) - 16 = 110 - 16 = 94
The angle opposite 5y - 16 also equals 94 because they are vertical angles.
The angle opposite of 3y + 20 also equals 86 because they are vertical angles