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AlladinOne [14]
2 years ago
11

Need help with this geometric question

Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0

Answer: A

Step-by-step explanation:

V=\frac{1}{2}(6)(4)(2)=\boxed{24}

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A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velo
Vlad1618 [11]

Answer:

s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is a(t) = 2t + 5

Velocity:

v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

v(t) = t^2 + 5t - 3

Position:

s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K

In which K, the constant of integration, is the initial position. Since it is 12:

s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12

4 0
3 years ago
How to solve and graph the problem
zhenek [66]
The answer is m><span>−<span>3 but i can't show the graph </span></span>
4 0
3 years ago
Please help me with this question 3.14 for pie
dangina [55]

Answer:

25.12 is the circumference

Step-by-step explanation:

I hope that is what you meant!

4 0
3 years ago
Read 2 more answers
Help me out with these please!
garik1379 [7]

Step-by-step explanation:

1. a) q=4+0.8(7)

q=4+5.6

q=9.6

b) q=4+0.8(100)

q=4+80

q= 84

2. a) 12=4+0.8p

-4 -4

<u>8</u>=<u>0.8p</u>

0.8 0.8

10=p

b) 60=4+0.8p

-4 -4

<u>56</u>=<u>0.8p</u>

0.8 0.8

70=p

8 0
3 years ago
Read 2 more answers
Which function passes through the points (2, 3) and (4, 4)?
Oksana_A [137]
Point -slope form of a straight:
we have a point (x₀,y₀) and the slope m.

y-y₀=m(x-x₀)

Given two points (x₁,y₁) and (x₂,y₂) the slope will be:

m=(y₂-y₁)/( x₂-x₁)     or        m=(y₁-y₂)/(x₁-x₂)

In this case:
(2,3)
(4,4)

m=(4-3) / (4-2)=1/2

we can choose the point (2,3) or the point (4,4); the result will be the same.

y-y₀=m(x-x₀)
y-4=1/2(x-4)
y=1/2 x-2+4
y=1/2 x + 2

Answer: the funciton passes through the poinsts (2,3) and (4,4) is:
y=1/2 x+2

6 0
3 years ago
Read 2 more answers
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