- #1

VincentweZu

- 13

- 0

## Homework Statement

If the acceleration of a particle on a horizontal line is x where x represents the position in centimetres from the starting position of zero and if the initial velocity is 8 centimetres per second find the velocity of the particle when it is in a position of 15 centimetres

## Homework Equations

## The Attempt at a Solution

I attempted solving the equation using separation of variables.

let x = 15

a = 15

∫dv = ∫15dt

v = 15t + c c = 8

v = 15t + 8

∫dx = ∫15t + 8dt

x = 7.5t

^{2}+ 8t Assuming object starts at origin c = 0

15 = 7.5t

^{2}+ 8t Solving the quadratic

t = 0.9781

let t = 0.9781

v = 15(0.9781) + 8

v = 22.67cm/s

I know that something is wrong with my approach to the problem because this is not the answer, however I can't think of any other way to solve it. The answer is 17.