Question

a horizontal force f is applied to an object of mass m that starts at rest. find the distance the object travels after a time t*

Answer 1

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