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koban [17]
2 years ago
7

Write the parent function equation for a linear function

Mathematics
1 answer:
diamong [38]2 years ago
6 0
It is the equation in the simplest form
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A particle is moving on a straight line in such a way that its velocity v is given by v ( t ) = 2 t + 1 for 0 ≤ t ≤ 5 where t is
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Answer:

The total distance traveled by the particle is S = 30.

Step-by-step explanation:

Given that velocity,

v(t) = 2t + 1

To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.

Integrating v(t) with respect to t, we have

s(t) = t² + t + C.

At t = 5

s(5) = 5² + 5 + C

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At t = 0

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= C

The required distance is now

S(5) - S(0)

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