Answer
FALSE
Solve for $t$: $s = -16t^2 + v_0t$.
Cannot be solved because there are too many variables $(t,v_0,s)$ in the equation.
Rewrite the equation to solve for $t$.
$s = -16t^2 + st$
$-16t^2 + st-s=0$
Using the quadratic formula:
$x = \frac{-b±\sqrt{b^2-4ac}}{2a}$
$a=-16$, $b=s$, $c=-s$
$x = \frac{-s±\sqrt{s^2-(4⋅-16⋅-s)}}{2⋅-16}$
$x = \frac{-s±\sqrt{s^2-(64s)}}{-32}$
$x = \frac{-s±\sqrt{s^2-64s}}{-32}$
Work Step by Step
Solve for $t$: $s = -16t^2 + v_0t$.
Cannot be solved because there are too many variables $(t,v_0,s)$ in the equation.
Rewrite the equation to solve for $t$.
$s = -16t^2 + st$
$-16t^2 + st-s=0$
Using the quadratic formula:
$x = \frac{-b±\sqrt{b^2-4ac}}{2a}$
$a=-16$, $b=s$, $c=-s$
$x = \frac{-s±\sqrt{s^2-(4⋅-16⋅-s)}}{2⋅-16}$
$x = \frac{-s±\sqrt{s^2-(64s)}}{-32}$
$x = \frac{-s±\sqrt{s^2-64s}}{-32}$
