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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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Pls help, with explanation if possible
kirza4 [7]

king jon un

Step-by-step explanation:

3 0
2 years ago
Monica deposits ​$300 into a savings account that pays a simple interest rate of 3.9​%. Paul deposits ​$400 into a savings accou
tiny-mole [99]

Answer:

monica because with 3.4 % that is more than 2.3% and that is what they want to know so its monica

Step-by-step explanation:

The formula for calculating simple interest is given by :

S.I = \frac{ptr}{100}

For Monica

S.I = 300 x 3.4 x 1 / 100

S.I = $10.2

For Paul

S.1 = 400 x 2.4 x 1 / 100

S.I = $9.6

Therefore : Monica earned more interest

Monica's intrest rate is 1,224 and paul's is 840 so it would be monica.

(Hope this helps can I pls have brainlist (crown)☺️)

4 0
2 years ago
Find the volume of the portion of the solid sphere rholess than or equals5 that lies between the cones variant phiequalsStartFra
BlackZzzverrR [31]

Answer:

Volume = (250π√3)/3 unit³

Step-by-step explanation:

The shape is a solid sphere

Where rho = ρ

ρ ≤ 5

Where Phi = φ

φ = π/6 (lower limit)

φ = 5π/6 (upper limit)

Note 1π rad = 180°

We would apply triple integrals and spherical coordinates to solve for the volume of a solid sphere.

See attachment for details

From calculations,

The volume of the portion of solid sphere = Volume = (250π√3)/3 unit³

5 0
3 years ago
The infield of a baseball field is a square
AnnZ [28]

Answer:

  106.1 ft/s

Step-by-step explanation:

You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.

The speed is the ratio of distance to time:

  speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.

_____

In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:

  d² = 1² + 1²

  d² = 2

  d = √2

Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.

7 0
3 years ago
What is the volume of the following triangular prism?
Greeley [361]

Answer:

Option C. 42\ yd^{3}

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

V=BH

where

B is the area of the triangular base

H is the height of the prism

Convert 9 ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

<em>Find the area of the base B</em>

B=\frac{1}{2}(3)(4)=6\ yd^{2}

we have

H=7\ yd

substitute the values in the formula

V=BH

V=(6)(7)=42\ yd^{3}

5 0
3 years ago
Read 2 more answers
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