Solve the equation for the indicated variable. (Enter your answers as a comma-separated list.) h = 1 2 gt2 + v0t; for t

Question

Solve the equation for the indicated variable. (Enter your answers as a comma-separated list.)

h = 1

2

gt² + v₀t;

  for t

Answer 1

In the relation:

h = 1/2gt^2 + v0 (t), You can move h to the right hand side and use quadratic formula to solve for t, as the previous tutor mentioned. You can replace the value of h first then using quadratic formula to solve for t, which is much easier. If you get two answers with one is + and one negative then you don't accept the negative t. Good luck.

Answer 2

Now, you can either use the quadratic formula, t = [-b ± √(b2 - 4ac)]/(2a), or you can complete the square. I'll use the quadratic formula.

a = (1/2g)

b = (v_o)

c = -h

t = [-v_o ± √(v_o² - 4(1/2g)(-h))]/(2•1/2g)

t = [-v_o ± √(v_o² + 2gh)]/g