Question
Asked Nov 15, 2019
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Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position
a(t) (6t e')i + 12t j, v(0) = 3i, r(0) 3i - 4j
v(t)
r(t)
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Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position a(t) (6t e')i + 12t j, v(0) = 3i, r(0) 3i - 4j v(t) r(t)

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Expert Answer

Step 1

To calculate the velocity and position function for the particle.

Step 2

Given:

a(t)(6r+e)i+12rj. v(0)= 3i, r(0)=3i-4j
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a(t)(6r+e)i+12rj. v(0)= 3i, r(0)=3i-4j

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Step 3

Formula Used:

...
()=a(t)dt
r(t)r(t)dt
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()=a(t)dt r(t)r(t)dt

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Tagged in

Math

Calculus

Functions