Final answer:
To solve for t in the equation 100ft/s = (583ft)/t, cross-multiply to get t = (583ft) / (100ft/s) which simplifies to t = 5.83 seconds.
Step-by-step explanation:
We need to solve for the variable t. The provided equation is 100ft/s = (583ft)/t, which can be rearranged to find t. We begin by cross-multiplying to get t = (583ft) / (100ft/s), which simplifies to t = 5.83s. This means the time t for the given condition is 5.83 seconds.
The initial question concerning the quadratic equation, where x = xo + vot + 1/2at², is a motion equation commonly used in physics problems. However, it's not directly related to the query here because our equation for t is linear and not quadratic.