Question

Consider an object in free fall starting at position x_i=y_i=0 and ending up at some arbitrary final point (x_f,y_f). The initial velocity is v_i->=(v_x, v_yf)- note that the x-component of velocity is constant because we are in freefall. a)draw the free body diagram for the object. c) show that the work done by gravity is going from (0,0) to (x_f,y_f) is W=-mg delta y=-mgy_f. c)show that the change in kinetic energy is deltaK = 1/2 m(v_yi^2- v_yt^2). d)use the work-energy theorem to prove that delta(v_y^2) = -2gDeltay.

Answer 1