A particle initially located at the origin has an acceleration of a = 3 j m/sec^

Question

A particle initially located at the origin has an acceleration of

a = 3 j m/sec^2

and an initial velocity of

V0 = 5 i m/sec

(a) Find the vector position and velocity at any time t.
(b) What is the speed and position of the particle at t = 2 sec?
Start with the acceleration expression:

a = 3 j

Integrate with respect to time once, to get the velocity:

v = 3t j + C

Find C.

Then we need to integrate again to get an expression for the position:

r = 3 * 1/2 * t^2 j + 5t i + C

Again, the C is the constant of integration. Find it.

Explanation / Answer

v0 = 5 i at t = 0 V = c c = 5i

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