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DiKsa [7]
3 years ago
9

The acceleration function a(t) (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

A: v(t)=-t^2+4t-5

Step-by-step explanation:

Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.

v(t)=\int\ {2t+4} \, dt

Integrate:

-t^2+4t+C

V(0)=-5:

-0^2+4(0)+C=-5\\C=-5

Therefore, v(t):

v(t)=-t^2+4t-5

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-2x^2+4x-1 from 6x^2+3x-9
kirza4 [7]

Answer:

8{x}^{2}  - x   - 8

Step-by-step explanation:

We want to subtract

- 2 {x}^{2}  + 4x - 1

from

6 {x}^{2}  + 3x - 9

We set up the subtracttion problem to get:

6 {x}^{2}  + 3x - 9 - ( - 2 {x}^{2}  + 4x - 1)

We expand the parenthesis to get:

6 {x}^{2}  + 3x - 9  + 2 {x}^{2}   - 4x  + 1

Group similar terms:

6 {x}^{2}   + 2 {x}^{2} + 3x- 4x  + 1 - 9

We simplify to get:

8{x}^{2}  - x   - 8

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3 years ago
A truck was carrying 2 and 1/8 tons of sand. When it arrived, only 1 and 1/2 ton of sand were left. How much sand was lost along
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3 years ago
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1 year ago
What is the value of x?<br><br><br> 9<br><br> 18<br><br> 93√<br><br> ​183√
marishachu [46]

Answer:

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2 years ago
Find the number that makes the ratio equivalent to 7:3.<br><br><br><br>84:?
vodka [1.7K]

Answer:

36

Step-by-step explanation:

Divide 84 by 7

84 ÷ 7 = 12

Now multiply 3 by 12

3 × 12 = 36

Then

7 : 3 = 84 : 36

7 0
2 years ago
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