Question

integration of laws of motion​

Answer 1

Explanation:

At low velocities v, this force is proportional to the velocity v: ... Thus, if the drag force is proportional to the velocity of the body, its speed will decrease exponentially. The law of motion x(t) can be easily found by repeated integration: x(t)=x0+t∫0v(τ)dτ=x0+t∫0v0e−kmτdτ=x0−mv0k(e−kmt−1)=x0+mv0k(1−e−kmt).