posted by Harmony .
A car initially moving at 15 m/s accelerates at 4.5 m/s2 over a distance of 10 m. Find the final velocity?
Let the initial velocity be V1 = 15 m/s and the final velocity be V2 (unknown).
Since F = M a is the accelerating force and the work done is
W = F*X,
K.E. change = (M/2)[V2^2 - V1^2] = M*a*X
M cancels out.
V^2^2 - V1^2 = 2 a X
Solve for V2.
There is another way to derive the same equation without using the mass and force.
Travel time = T = X/(avg velocity)
T = 2X/(V1 +V2)
V2 -V1 = a*T = 2 a X/(V1 + V2)
V2^2 - V1^2 = 2 a X