- #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 = 7.5t2 + 8t Assuming object starts at origin c = 0
15 = 7.5t2 + 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.