Question

15 kg object is moving with a velocity of 17.5 m/s. a force of -50 n acts on the object and its velocity becomes 3.20 m/s. what is the displacement of the object while the force act

Answer 1

`a = (F)/(m) = -(50)/(15) = constant \\ \\ v = at +v_i \\ \\ t = (v - v_i)/(a) \\ \\ x = (1)/(2) a t^(2) + v_it + x_i \\ \\ x - x_i = (1)/(2) a ( v^(2) - 2vv_i + v_i^(2) )/( a^(2) ) + (vv_i - v_i^(2) )/(a) \\ \\ x - x_i = (1)/(2) ( v^(2) - v_i^(2) )/(a)`