a go-cart starts and accelerates to 40 m/s in 200m. what is the acceleration of the go-cart?
V = sqrt(2aX)
Solve for a, the acceleration.
V is the final velocity after travelling a distance X
a = V^2/(2X) = 1600/400 = 4 m/s^2
Or:
time spent accelerating
= X/(avg speed) = 2 X/V = 10 s
a = V/a = 4 m/s^2