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frutty [35]
3 years ago
6

A race car accelerates at 2 m/s2 from 12 m/s to 18 m/s. Find distance and time

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

Distance = 45 meters

Time = 3 seconds

Step-by-step explanation:

Here, we want to calculate distance and time

To find the time, we can use one of the Newtons law of motion

V = U + at

In this question

V = final velocity = 18 m/s

U = initial velocity = 12 m/s

a = acceleration

Thus;

18 = 12 + 2(t)

18-12 = 2t

2t = 6

t = 6/2

t = 3 seconds

Mathematically we can also find the distance using one of the equation of motion;

D = ut + 1/2 at^2

D = 12(3) + 1/2 * (2) * 3^2

D = 36 + 9

D = 45 m

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A train is traveling at a speed of 60 miles per hour. What happens to the number of miles when the number of hours
belka [17]

Answer:

It multiplies

Step-by-step explanation:

if the number of hours changes to example to 2 then you multiply 60 by 2 resulting in 120miles in 2 hours

5 0
3 years ago
If the circumference of a circle measures 25.12cm, what is the area of the circle in terms of pi?
kiruha [24]

Answer:

Step-by-step explanation:

The formula for circumfrance is 2*(pi)*R and the formula for area is (pi)* R^2 or (pi) R-squared.

Circumfrance is 25.12 so....

25.12 = 2 * (pi) R........ you want to find R because you need it to find the area

R is about 4; it is 3.99797 .

You use the R that you goot from cirdumfrance to find area.

Area = (pi) (4)^2 = 50. 265

or is you prefer a more precise answer, Area = 50.2145

4 0
3 years ago
A sequence of numbers can be thought of as a function, where fin) represents the n term of the sequence. Which of the following
gladu [14]

Answer:

Rational numbers

Step-by-step explanation I put D on a test and I got it right

8 0
3 years ago
Write the first three terms of the series for which tn = 2(n+3). Find the number of terms of the series required to make the sum
ira [324]

Answer:

The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.

Step-by-step explanation:

The series is defined as

t_n=2(n+3)

Put n=1.

t_1=2(1+3)=2\times 4=8

Put n=2.

t_2=2(2+3)=2\times 5=10

Put n=3.

t_3=2(3+3)=2\times 6=12

The first three terms of the series are 8, 10 and 12.

It is an arithmetic series. The first terms is 8 and the common difference is

d=a_2-a_1=10-8=2

The sum of n terms of an arithmetic series is

S_n=\frac{n}{2}[2a+(n-1)d]

288=\frac{n}{2}[2(8)+(n-1)2]

288=\frac{2n}{2}[8+n-1]

288=n[n+7]

0=n^2+7n-288

0=n^2+19n-12n-288

0=n(n+19)-12(n+19)

0=(n+19)(n-12)

Equate each factor equal to zero.

n=-19,12

The number of terms can not be negative, therefore the value of n must be 12.

6 0
3 years ago
a company needs to refill printing paper. each one of printing paper costs $30 and a delivery fee of $10. write an equation to f
jasenka [17]

Answer:

Cost in $= x(y(30))+10

Step-by-step explanation:

a company needs to refill printing paper. each one of printing paper costs $30 and a delivery fee of $10.

Let y be the number of paper in a box

Let x be the number of box to be purchased.

So it means for each x box, there are y paper costing $30 and a delivery fee for the box is $10

Cost in $= x(y(30))+10

3 0
3 years ago
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