Answer:
Δx = 1/2(F/m)t²
Step-by-step explanation:
F = ma (Newton's 2nd Law)
a = F/m
Kinematics equation for distance (x):
Δx = v₀t + 1/2at²
v₀ = 0 because the object starts at rest, so the first term drops out leaving,
Δx = 1/2at² substitute in the equation for a shown above (a = F/m)
Therefore, the distance the object travels after a time t is:
Δx = 1/2(F/m)t²