Question

Solve for t in this equation and show steps please d = vt + 1/2(a)(t^2)

Answer 1

The equation can be rewritten as (1/2)at2 + vt - d = 0

This is a quadratic equation in the variable t, which can be solved by using the quadratic formula.

t = [-v ± √(v2 - 4(1/2)(a)(-d))]/(2(1/2)(a))

= [-v ± √(v2 + 2ad)]/a