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Paha777 [63]
3 years ago
8

A car driving on a straight track accelerates at a rate of 3.2 m/s2 for 14 s. If the initial velocity of the car was 5.1 m/s, an

d its initial position was 0 m, what is its final position?
Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

The data we have is:

The acceleration is 3.2 m/s^2 for 14 seconds

Initial velocity = 5.1 m/s

initial position = 0m

Then:

A(t) = 3.2m/s^2

To have the velocity, we integrate over time, and the constant of integration will be equal to the initial velocity.

V(t) = (3.2m/s^2)*t + 5.1 m/s

To have the position equation, we integrate again over time, and now the constant of integration will be the initial position (that is zero)

P(t) = (1/2)*(3.2 m/s^2)*t^2 + 5.1m/s*t

Now, the final position refers to the position when the car stops accelerating, this is at t = 14s.

P(14s) =   (1/2)*(3.2 m/s^2)*(14s)^2 + 5.1m/s*14s = 385m

So the final position is 385 meters ahead the initial position.

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Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $5.10 in all, how many nickels,
Mama L [17]
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3 years ago
Can you answer the question please I really need help
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3 years ago
Mr. and mrs.storey drive 3200 miles in all during their vacation. mr.storey drove 3 times as many miles as mrs.storey how many m
vaieri [72.5K]
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
 
the first equation is
y = 3x

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5 0
3 years ago
Which equation can be used to verify that 534 – 68 = 466?
IgorC [24]

Answer:

466 + 68

Step-by-step explanation:

We can easily check a subtraction problem with an addition problem.

Calculate the sum of the subtracted and the difference. If the sum is equal to the minuend in the original subtraction problem, the answer is correct.

Minuend - Subtrahend = Difference

466 + 68 = 534

The statement '534 – 68 = 466' is correct.

Hope this helps.

6 0
2 years ago
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