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11Alexandr11 [23.1K]
3 years ago
12

A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

acceleration \approx 2.78\,\,\frac{m}{s^2}

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}

so in this case the acceleration becomes:

accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}

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Someone please help me!!!!​
BARSIC [14]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity:  cos 2A = 2cos²A - 1

Use the Difference Identity:  cos (A - B) = cosA · cosB + sinA · sinB

Use the Unit Circle to evaluate:  cos (π/2) = 0   &     sin (π/2) = 1

<u>Proof  LHS → RHS</u>

\text{Given:}\qquad \qquad \qquad \qquad 2\cos^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)-1\\\\\\\text{Double Angle Identity:}\quad \cos2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \quad \cos\bigg(\dfrac{\pi}{2}-A\bigg)\\\\\\\text{Difference Identity:}\qquad \cos\dfrac{\pi}{2}\cdot \cos A+\sin \dfrac{\pi}{2}\cdot \sin A\\\\\\\text{Unit Circle:}\qquad \qquad \qquad 0\cdot \cos A+1\cdot \sin A\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \sin A

LHS = RHS:   sin A = sin A   \checkmark

 

4 0
4 years ago
Read 2 more answers
What is the value of the expression 2x^2 + 3xy - 4y^2 when x = 2 and y = -4?
Vera_Pavlovna [14]

Answer:

-80

Step-by-step explanation:

2x^2 + 3xy - 4y^2  

x = 2 | y = - 4

2(2)^2 + 3(2)(-4) - 4(-4)^2

2 * 4 + 3(2)(-4) - 4 * 16

8 - 24 - 64

-80

5 0
3 years ago
Solve using a system of equations. Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 110 tickets
Marrrta [24]

Answer:

The number of adults tickets is 80 and the number of students tickets is 30

Step-by-step explanation:

Given as :

The tickets price for adults = $6.00

The tickets price for students = $4.50

Total number tickets were sold = 110

Total Price of 110 tickets = $615.00

Now,

Let The number of adults tickets sold = A

The number of students tickets sold = S

So, according to question

          A + S =  110

And   6 A + 4.5 S = 615

Or,   6 A + 6 S =  660            .....1

       6 A + 4.5 S = 615            ......2

Solving the equations

( 6 A + 6 S ) - ( 6 A + 4.5 S ) = 660 - 615

Or,  ( 6 A - 6 A ) ( 6 S - 4.5 S ) = 45

or,  ( 6 S - 4.5 S ) = 45

or,   1.5 S = 45

∴    S = \frac{45}{1.5}

I,e  S = 30

Put the value of S in eq 1

So,  6 A + 6 × 30 =  660

Or,  6 A = 660 - 180

Or  6 A = 480

∴   A = \frac{480}{6}

I.e A = 80

Hence The number of adults tickets is 80 and the number of students tickets is 30   .     Answer

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3 years ago
The question is How long did it take each time 18 liters of water were drained?
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<h2><u><em>It will take 1/4 of a minute to drain 18 liters</em></u></h2>

<h2><u><em>i took a test wit that question</em></u></h2>
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Answer:

the answer is (0,-1) is a point on the line or maybe not

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