Final answer:
To make v the subject of the formula H=m(v√-u√)/(2gx), divide both sides by m and isolate the v term by separating the square roots. Square both sides and solve for v to get v² = (2gxH/m + u²).
Step-by-step explanation:
To make v the subject of the formula H=m(v√-u√)/(2gx), we can start by multiplying both sides of the equation by 2gx to get rid of the denominator. This gives us 2gxH = m(v√-u√). Then, we can isolate the v term on one side by dividing both sides by m and separating the square roots. Finally, square both sides to eliminate the square roots and solve for v. The resulting equation is v² = (2gxH/m + u²).